{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "527e776f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "%matplotlib inline\n",
    "\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from mpl_toolkits.mplot3d.art3d import Poly3DCollection\n",
    "from matplotlib import cm\n",
    "import torch\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "\n",
    "def start_plot():\n",
    "    mpl.rcParams['legend.fontsize'] = 10\n",
    "    fig = plt.figure(figsize=(8, 8), dpi=100)\n",
    "    ax = fig.gca()\n",
    "    return ax, fig\n",
    "\n",
    "def show_plot(ax=None, fig=None, plt_title='', x_label='x', y_label='y', lim=25):\n",
    "    plt.title(plt_title, fontsize=14)\n",
    "    ax.set_xlabel(x_label, fontsize=20)\n",
    "    ax.set_ylabel(y_label, fontsize=20)\n",
    "    ax.set_xlim(-lim, lim)\n",
    "    ax.set_ylim(-lim, lim)\n",
    "\n",
    "    plt.show()\n",
    "    fig.show()\n",
    "\n",
    "\n",
    "def get_radius(w):\n",
    "    return w.norm()\n",
    "\n",
    "def get_loss(w):\n",
    "    return w.norm() ** 2\n",
    "\n",
    "def loss_gradient(w):\n",
    "    return 2.0*w\n",
    "\n",
    "def update(lr, w, prev_delta_w, gamma=0, optim='gradient'):\n",
    "    if optim == \"gradient\":\n",
    "        delta_w = lr * loss_gradient(w)\n",
    "        fmt = \"bo\"\n",
    "    elif optim == \"momentum\":\n",
    "        if prev_delta_w is None:\n",
    "            delta_w = lr * loss_gradient(w)\n",
    "        else:\n",
    "            delta_w = gamma * prev_delta_w + lr * loss_gradient(w)\n",
    "        fmt = \"go\"\n",
    "    elif optim == \"nesterov\":\n",
    "        if prev_delta_w is None:\n",
    "            delta_w = lr * loss_gradient(w)\n",
    "        else:\n",
    "            w_look_ahead = w - prev_delta_w\n",
    "            delta_w = gamma * prev_delta_w + lr * loss_gradient(w_look_ahead) \n",
    "    else:\n",
    "        raise NotImplementedError \n",
    "    return delta_w\n",
    "\n",
    "def colors(optim):\n",
    "    if optim == \"gradient\":\n",
    "        circle_color = \"blue\"\n",
    "        arrow_color = \"black\"\n",
    "        fmt = \"bo\"\n",
    "    elif optim == \"momentum\":\n",
    "        circle_color = \"green\"\n",
    "        arrow_color = \"black\"\n",
    "        fmt = \"go\"\n",
    "    elif optim == \"nesterov\":\n",
    "        circle_color = \"green\"\n",
    "        arrow_color = \"black\"\n",
    "        fmt = \"go\"\n",
    "\n",
    "    else:\n",
    "        raise NotImplementedError \n",
    "    return circle_color, arrow_color, fmt\n",
    "\n",
    "def plot_one_iter(ax, center, w, delta_w, circle_color, arrow_color, fmt):\n",
    "    \"\"\"\n",
    "    Plots \n",
    "        - a circle at w \n",
    "        - a point at w\n",
    "        - a vector from prev_w to w\n",
    "    \"\"\"\n",
    "    radius = get_radius(w)\n",
    "    if radius == 0:\n",
    "        return\n",
    "    circle = plt.Circle(center, radius, color=circle_color, fill=False)\n",
    "    ax.add_patch(circle)\n",
    "    plt.plot(w[0], w[1], fmt) \n",
    "    if delta_w is not None:\n",
    "        prev_w = w + delta_w\n",
    "        plt.arrow(prev_w[0], prev_w[1], -1 * delta_w[0], -1 * delta_w[1], color=arrow_color, width=0.2, head_width=10, \n",
    "                  head_length=10, length_includes_head=True)\n",
    "\n",
    "def plot_text(start_loss, end_loss, num_iters):\n",
    "    plt.text(120, 230, \"Start Loss: {:0.1f}\".format(start_loss), fontsize=12)\n",
    "    plt.text(120, 210, \"End Loss: {:0.1f}\".format(end_loss), fontsize=12)\n",
    "    plt.text(120, 190, \"Num Iters: {}\".format(num_iters), fontsize=12)\n",
    "\n",
    "        \n",
    "def contours_and_trajectory(w, lr=0.2, gamma=0.2, optim=\"gradient\"):\n",
    "    center = (0, 0)\n",
    "    radius = get_radius(w)\n",
    "    prev_radius = None\n",
    "    ws = [w]\n",
    "    delta_ws = []\n",
    "    circle_color, arrow_color, fmt = colors(optim)\n",
    "    overshot = False\n",
    "    plt.plot(0, 0, marker='x', markersize=12, color=\"black\")\n",
    "    while True:\n",
    "        w = ws[-1]\n",
    "        delta_w = delta_ws[-1] if delta_ws else None\n",
    "        prev_w = ws[-2] if len(ws) >= 2 else None\n",
    "        prev_delta_w = delta_ws[-2] if len(delta_ws) >= 2 else None\n",
    "        radius = get_radius(w)\n",
    "        prev_radius = get_radius(prev_w) if prev_w is not None else None\n",
    "        if prev_radius is not None and radius > prev_radius:\n",
    "            arrow_color = \"red\"\n",
    "            circle_color = \"red\"\n",
    "            fmt = \"ro\"\n",
    "            overshot = True\n",
    "            plot_one_iter(ax, center, w, delta_w, circle_color, arrow_color, fmt)\n",
    "            break\n",
    "        plot_one_iter(ax, center, w, delta_w, circle_color, arrow_color, fmt)\n",
    "        delta_w = update(lr, w, prev_delta_w, gamma, optim)\n",
    "        w = w - delta_w\n",
    "        ws.append(w)\n",
    "        delta_ws.append(delta_w)\n",
    "        if get_loss(w) < 50:\n",
    "            break\n",
    "    start_loss = get_loss(ws[0])\n",
    "    end_loss = get_loss(ws[-1])\n",
    "    print(\"Iter\\tRadius\\tLoss\")\n",
    "    for i in range(len(ws)):\n",
    "        print(\"{}\\t{:0.2f}\\t{:0.2f}\".format(i, get_radius(ws[i]), get_loss(ws[i])))\n",
    "    num_iters = len(ws) - 1\n",
    "    return start_loss, end_loss, num_iters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "33197386",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter\tRadius\tLoss\n",
      "0\t223.61\t50000.00\n",
      "1\t134.16\t18000.00\n",
      "2\t80.50\t6480.00\n",
      "3\t48.30\t2332.80\n",
      "4\t28.98\t839.81\n",
      "5\t17.39\t302.33\n",
      "6\t10.43\t108.84\n",
      "7\t6.26\t39.18\n"
     ]
    },
    {
     "data": {
      "image/png": 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r0KxZsxLjkqc08ezbtw9hYWG4cuUKUlJS8PDhQzg7Oxe7vTdv3sDIyEilWFWhjv2tqvHjx8t80RfnNaGhoTLl5X0hrwjtKC/R0dF49eoVfH19Ubt27VLVVeUT93bt2iEyMhIRERGSJFtZ8r5dAsI/1KysLJw5c0bqYkdA6C0T90CLmZmZIT8/Hy9fvpQ5uD9//lyhWMT/9NLT01GtWjVFm1AulG2fsm0RiUQYOnQohg4div/++w9nzpzB9u3bsWvXLty7dw83btyAtrY2zM3NQUR49uxZiXPyV+T96ePjg0uXLuHixYuIjIyEm5ubZL+6uLggIiICdevWRU5OjqRHrzyZmpoiPz8fL168gI2NjdS6pKQkEJFUkiaeQk3eLarFN9OoiJRtpzq3C2juvVkZXy9VX6uijvFluW1Fj2fKlpXn6tWrAEq+MBWA5Bgj/uJYmLm5OTIyMvDo0SPs2bMH8+fPh46OjuSeESkpKdi2bRt0dHQwZswYqedu27YN33zzDX755Rd4eHhg0aJF6NKlC+7evavyZ0jVeF6/fg0vLy/07NkTY8eOLXE7+fn5SEtLg5ubW7Hlli9frtSZLX9//2KT3tLs79IQX/hdUFxcHK5fv67SDds01Y6C1P3aFDRmzBgkJCTg119/Rf/+/bF161a5k50ooson7oMHD8aCBQvwyy+/4Msvv5TbG6yq+/fvw8LCQiZpz8zMlBwoC2rWrBmuXr2KM2fO4NNPP5Vad+bMGYW22bp1a1y9ehV///03OnfurHrwxRD/A1C2d07Z9pWmLZaWlvD394e/vz9evnyJU6dO4d9//0X9+vXRqlUrXL58GcePH0dQUFCx9ZT1/lR1XwJC4r5w4UIcP34cZ86ckWrLRx99hIMHD0pmlpF3el6dscjzwQcfIDo6GpGRkejdu7fUusjISADSvTDi06Xx8fEydYmHGRSm7phVoWw71UXTn3VVXi9N09RrVdptF3c8K01ZMWUSdzc3N2hpaSE2NlbuenECtmLFChgaGmLkyJEAIEnAnjx5gg0bNqB3794yHSfLli3DqFGjMGjQIADAunXrYGdnh23btmHUqFElxqbOeAYOHAhAGEakiHv37iE/Px9NmjQpttzy5cuLHGIij7Ozs0KJuyr7G1DvGY7SKE07VDk7Io+6X5uCtLS0sHbtWslPACon75XvLgFqVq9ePUyePBlJSUno2rUr/v33X7nlVBn76eTkhJSUFNy6dUuyTHxHrxcvXsiUFx8oZs+ejdevX0uWx8fHKzxtXnBwMHR0dDB27Fi5U5alpqaW+p+q+BbCT548Uep5yrZP2bZERkbKjHPLycmR9AyJp7kbNWoUtLW1MX36dJkPKRFJ3e67rPenqvsSADw9PaGjo4OwsDBkZGRInTHy8fHBy5cv8euvv8LY2FihMbqliUUe8RjEWbNmSQ0BSEtLk1w7UnCcooeHB0QiEXbs2CF1Gv7evXtFvv/VHbMqlG2numj6s67K66VpmnqtVNm2osczZcsWlpeXhxs3bsDc3Byurq4ltsPc3BxNmzbF5cuXkZ+fL7O+evXqiI+Px7p16zB06FBJ4iX++eOPPyI9PR0TJkyQel52djaio6PRqVMnyTIdHR14e3vj/PnzMtvx9vaGSCSSfOkpiqrxKOvChQsAgA4dOhRbLi4uDiRMDKLQo6hx4epon/gMx/fff48rV66gTp066NKli0aGMJamHeKzI7Nnzy5VDOp+bQoTiUT4+eef8cUXX2DXrl3o16+f3DOWJanyPe6AMKQlOzsbS5cuRYMGDeDl5YVmzZrByMgISUlJuHHjBi5evAgTExOlemPGjh2L48ePw9PTE71794aBgQEiIyMRHx8Pb29vmQOOj48PgoKCsGHDBjRp0gQBAQHIysrCzp070aZNGxw+fLjEbTZu3BirV6/G6NGjUb9+fXzyySdwdXVFRkYGHjx4gKioKAwZMgRr1qxRdjdJNGjQAA4ODtixYwf09fXh6OgIkUiEsWPHSj5k8ijbPmXb4u/vD1NTU7Rp0wZOTk7IyclBeHg4YmJiEBgYCCcnJwDCXe6WL1+OcePGwc3NDf7+/nByckJiYiJOnz4NPz8/yTzQZb0/Vd2XAGBiYoKWLVvi/Pnz0NLSkvqHIR4a8+LFC3Tp0kVygU9ZxSKPl5cXxo4di5UrV6Jx48bo1asXiAh79+7F06dPMW7cOHh5eUnKOzg4oF+/fti2bRs8PDzw8ccfIykpCfv378fHH3+MvXv3lnnMqlC2neqi6c+6Kq+XpmnqtVJl24oez5QtW1hMTIxkbPbw4cPllvnwww+lzugFBAQgNDRUcn+IgqpXr45Lly5BS0sLX375pWS5+PP4zz//wMvLS2Y8/cuXL5GXlydzPYGNjQ3u378vE5P4S0NJPZaqxqOs8PBw6OjooFu3bqWqR1mlaV9ZnOFQVWnaoezZEU0SiUQICwuDlpYWwsLCQETYsWOHcj3vKs9H8x66evUqjRw5kho0aEAmJiakq6tLtra29NFHH9GiRYtk5shVZCq6PXv2kLu7OxkZGZGVlRX17t2b7t+/L5k2qfA84rm5uTR//nyqXbs26enpUe3atWnevHn077//KjQdpNjFixepb9++5ODgQLq6umRlZUXu7u40ZcoUqakvi2tDcfX//fff1KFDB6pWrZpkaiRF75yqaPuUbcvq1aupR48e5OTkRAYGBmRpaUmtWrWisLAwufM/R0REULdu3cjCwkJy59RevXrR2bNny3V/qroviYi+/fZbAiA17Z+YeG5o8ZSRpY1F1ffK+vXrqWXLlmRkZERGRkbUsmXLIqfizMzMpHHjxpGtrS3p6+tT06ZNaevWrcVuW5X9p+o0h+I7c8qbYkyRdpbFdjX5WVf29SqL9stT1HSQYoq+J1WdblQdnwdljmfKHvsK2rhxY4nT3hU+hsTHx5OOjg6NHj1apr4+ffoQAPr0009l1uno6BAA2r9/v8y6+Ph4AiA1hz+RMH2vr6+v1LL8/HyysLAgZ2fnEu+oq2o8Yv/880+Jx5TXr1+TiYkJ+fv7FxtLWVC1fVlZWaStrU2///671PJevXrRoEGDVIpF1ekgiUr/OhEp9lqVt6KOIfn5+RQSEiJps6L3qCAiEhGpYQ4dxhhjjFUZAwcOxJEjR/Do0SO1XBydnZ0NIyMjHDhwQKrXOjAwEMbGxti0aZNk2c2bN9GkSROsWrUKwcHBpd52ccTbKm7c9Lp16zBixAhERUWV2RkbdUtISECNGjVw8eJFqaGUwcHBuH//Po4dO6bB6FSjyGv1PqjyY9wZY4wxppw5c+bgzZs3WLlypVrq09PTwwcffCB1T4Lc3FxERkaibdu2UmXPnDkDW1tbDB06VC3bLo3c3FzMmzcPPXr0qDRJO6vcOHFnjDHGmFKcnJywadMmtU5FOmHCBKxZswZbtmxBTEwMRo4cCR0dHfTv31+q3OjRo5GYmFjsRbellZycjGvXrklmz4mJicG1a9dkpsF8/PgxBg0ahKVLl5ZZLGXBysoK2traMlMxJyUlwc7OTkNRMUXwxamMMcYYU1rhaS1Lq3///njx4gW+/fZbyfSEx44dK5P7IJTk0KFDUhfk+vn5AZC9A2jt2rVVmrdc0wqe4RAPTRKf4ZgzZ46Go2PF4THujDHGGGNVzLZt2zBs2DCsXbsW7u7uWLx4Mf74449S3fBKE5KTk/H48WPcv38fgYGBOHLkCBwcHFCrVi3JlLbvE+5xZ4wxxhirYirSGY7SUPTsyPuCe9wZY4wxxhirBPjiVMYYY4wxxioBTtwZY4wxxhirBHiMeznJz89HQkICqlWrBpFIpOlwGGOMMcZYIUSEjIwMODg4QEur4vVvc+JeThISElCzZk1Nh8EYY4wxxkrw5MkTODo6ajoMGZy4lxPxTSqePHlS6a7YZowxxhirCtLT01GzZk213lxMnThxLyfi4TGmpqacuDPGGGOMVWAVdVhzxRu8wxhjjDHGGJPBiTtjjDHGGGOVACfujDHGGGOMVQKcuDPGGGOMMVYJcOLOGGOMMcZYJcCJO2OMMcYYY5UAJ+6MMcYYY4xVApy4M8YYY4wxVglw4s4YY4wxxlglwIk7Y4wxxiqcf/75B4GBgXBycoKBgQFq1KiBzp07Y+XKlVLl5s2bhwMHDpRJDOfOncPMmTORmpqqUPkhQ4bAxMSkTGIpD87OzhCJRDKPUaNGyZRNTU3FyJEjYW1tDWNjY/j4+ODq1aty6z106BDc3d1hYGCAWrVqITQ0FLm5ueVSpzz5+flYuHAhXFxcYGBggKZNm2L79u0KPVfTdDQdAGOMMcZYQefOnYOPjw9q1aqFESNGwM7ODk+ePMHff/+NFStWYOzYsZKy8+bNQ2BgIPz9/cskjlmzZmHIkCEwNzdXe/0VUfPmzfHVV19JLatXr57U3/n5+fDz88P169fx9ddfw8rKCqtXr4a3tzeuXLmCunXrSsoePXoU/v7+8Pb2xsqVK/HPP/9gzpw5SEpKQlhYWJnWWZRp06ZhwYIFGDFiBFq2bImDBw+if//+EIlE+OSTT1TddeWDWLlIS0sjAJSWlqbpUBhjjLEK7ZNPPiFra2tKSUmRWff8+XOpv42NjWnw4MFq3f6rV6+IiGjRokUEgB4+fKjQ8wYPHkzGxsZqjaU8OTk5kZ+fX4nldu7cSQBo9+7dkmVJSUlkbm5O/fr1kyrbqFEjatasGeXk5EiWTZs2jUQiEd2+fbtM65Tn6dOnpKurSyEhIZJl+fn51L59e3J0dKTk5OQKna/xUBnGGGOMVSj379+Hm5ub3F5uGxsbye8ikQivX7/Gpk2bJMM6hgwZAgB49OgRgoODUb9+fRgaGsLS0hKfffYZ4uLipOrbuHEjRCIRoqKiEBwcDBsbGzg6OmLmzJn4+uuvAQAuLi6S+gs/XxW7d++Gh4cHDA0NYWVlhQEDBiA+Pl6qTGJiIoKCguDo6Ah9fX3Y29ujZ8+eUtu/fPkyunTpAisrKxgaGsLFxQVDhw6VqufZs2e4c+cOcnJyFI4vOzsbr1+/LnL9nj17YGtri08//VSyzNraGr1798bBgweRlZUFAIiJiUFMTAxGjhwJHZ13gzyCg4NBRNizZ0+Z1inPwYMHkZOTg+DgYMkykUiE0aNH4+nTp7h48WJJu0ejeKgMY4wxxioUJycnnD9/Hjdv3kTjxo2LLLd582YMHz4crVq1wsiRIwEArq6uAIBLly7h3Llz6Nu3LxwdHREXF4ewsDB4e3sjJiYGRkZGUnUFBwfD2toaM2bMwOvXr9G1a1fcvXsX27dvx7Jly2BlZQVASCZLY+PGjQgKCkLLli0xf/58PH/+HCtWrMDZs2cRHR0t+bLSq1cv3Lp1C2PHjoWzszOSkpIQHh6Ox48fS/729fWFtbU1pkyZAnNzc8TFxWHfvn1S25s6dSo2bdqEhw8fwtnZucT4Tp06BSMjI+Tl5cHJyQkTJkzAl19+KVUmOjoa7u7u0NKS7v9t1aoVfvnlF9y9exdNmjRBdHQ0AKBFixZS5RwcHODo6ChZX1Z1yhMdHQ1jY2M0bNhQZjsAcOPGjWKfr2mcuDPGGGOsQpk0aRK6du2K5s2bo1WrVmjfvj06duwIHx8f6OrqSsoNGDAAo0aNQu3atTFgwACpOvz8/BAYGCi1rHv37mjbti327t2LgQMHSq2zsLDAyZMnoa2tLVnm7u6O7du3w9/fX6GktyQ5OTn45ptv0LhxY5w+fRoGBgYAAE9PT3Tr1g3Lli3DrFmzkJqainPnzmHRokWYNGmS5PlTp06V/H7u3DmkpKTg+PHjUknsnDlzVI6vadOm8PT0RP369fHff/9h48aNGD9+PBISEvDDDz9Iyj179gxeXl4yz7e3twcAJCQkoEmTJnj27JnU8sJlExISyrROeZ49ewZbW1uIRCK52xHXX1HxUBnGGGOMVSidO3fG+fPn0aNHD1y/fh0LFy5Ely5dUKNGDRw6dEihOgwNDSW/5+Tk4L///kOdOnVgbm4ud6aSESNGSCXtZeHy5ctISkpCcHCwJGkHhC8ZDRo0wJEjRySx6+npITIyEikpKXLrEvfMHz58uNhhMBs3bgQRKfTF49ChQ5g8eTJ69kddJk4AACAASURBVOyJoUOHIioqCl26dMHSpUvx9OlTSbk3b95AX19f5vniNr1580bqZ1FlxevLqk55StrO27dvi32+pnHizhhjjLEKp2XLlti3bx9SUlJw8eJFTJ06FRkZGQgMDERMTEyJz3/z5g1mzJiBmjVrQl9fH1ZWVrC2tkZqairS0tJkyru4uJRFM6Q8evQIAFC/fn2ZdQ0aNJCs19fXxw8//ICjR4/C1tYWXl5eWLhwIRITEyXlO3TogF69emHWrFmwsrJCz549sWHDBslYcHUQiUSYMGECcnNzERkZKVluaGgodzvipFf8pUn8s6iyBb9clUWd8pS0nYJfqCoiTtwZY4wxVmHp6emhZcuWmDdvHsLCwpCTk4Pdu3eX+LyxY8di7ty56N27N3bt2oXjx48jPDwclpaWyM/PlylfUsJX3saPH4+7d+9i/vz5MDAwwHfffYeGDRtKxnCLRCLs2bMH58+fx5gxYxAfH4+hQ4fCw8MDr169UlscNWvWBAAkJydLltnb28sdUiJe5uDgIClXcHnhsuJyZVWnPPb29khMTAQRyd2OvCE4FQkn7owxxhirFMRjuQsmbYXHKovt2bMHgwcPxpIlSxAYGIjOnTvD09NT4ZspFVe3qpycnAAAsbGxMutiY2Ml68VcXV3x1Vdf4fjx47h58yays7OxZMkSqTJt2rTB3LlzcfnyZWzduhW3bt3Cjh071BbzgwcPAEhflNu8eXNcvXpV5gvQhQsXYGRkJJn3vXnz5gCEIUIFJSQk4OnTp5L1ZVWnPM2bN0dmZiZu374tsx0AaNKkSbHP1zRO3BljjDFWoURERMj0iALAH3/8AUB6qImxsbHcZFxbW1umjpUrVyIvL0/hOIyNjQFAqWS/OC1atICNjQ3WrFkjNVzj6NGjuH37Nvz8/AAAmZmZMmOtXV1dUa1aNcnzUlJSZNonTloL1q3odJDJycky+yYnJwcLFiyAnp4efHx8JMsDAwPx/PlzqRlsXr58id27d6N79+6SMeRubm5o0KABfvnlF6m6w8LCIBKJpC4eLos609LScOfOHamhUT179oSuri5Wr14tWUZEWLNmDWrUqIHWrVsXu580jWeVYYwxxliFMnbsWGRmZiIgIAANGjRAdnY2zp07h507d8LZ2RlBQUGSsh4eHjhx4gSWLl0KBwcHuLi4oHXr1ujWrRs2b94MMzMzNGrUCOfPn8eJEydgaWmpcBweHh4AhDtt9u3bF7q6uujevbskoZcnJydH7swuFhYWCA4Oxg8//ICgoCB06NAB/fr1k0wH6ezsjAkTJgAA7t69i44dO6J3795o1KgRdHR0sH//fjx//hx9+/YFAGzatAmrV69GQEAAXF1dkZGRgbVr18LU1FTq7p+KTgd56NAhzJkzB4GBgXBxcUFycjK2bduGmzdvYt68ebCzs5OUDQwMRJs2bRAUFISYmBjJXU7z8vIwa9YsqXoXLVqEHj16wNfXF3379sXNmzfx008/Yfjw4VJTMpZFnfv370dQUBA2bNggmd/f0dER48ePx6JFi5CTk4OWLVviwIEDOHPmDLZu3VrmFyiXmubu/VS18J1TGWOMMcUcPXqUhg4dSg0aNCATExPS09OjOnXq0NixY2XunHrnzh3y8vIiQ0NDAiC5i2pKSgoFBQWRlZUVmZiYUJcuXejOnTvk5OQkdafVDRs2EAC6dOmS3Fi+//57qlGjBmlpaZV4F9XBgwcTALkPV1dXSbmdO3fSBx98QPr6+mRhYUGff/45PX36VLL+5cuXFBISQg0aNCBjY2MyMzOj1q1b065duyRlrl69Sv369aNatWqRvr4+2djYULdu3ejy5ctyYyrp7q+XL1+m7t27U40aNUhPT49MTEzI09NTapsFJScn07Bhw8jS0pKMjIyoQ4cORe7D/fv3U/PmzUlfX58cHR1p+vTplJ2dXeZ1il/bDRs2SC3Py8ujefPmkZOTE+np6ZGbmxtt2bKFiCp+viYiknMuiqldeno6zMzMkJaWBlNTU02HwxhjjDHGCqno+RqPcWeMMcYYY6wS4MSdMcYYY4yxSoATd8YYY4wxxioBTtwZY4wxxhirBDhxZ4wxxhhjrBLgedwZY6yKy80FXr0CMjLe/Sz4e2YmkJcH5OcLj4K/EwFaWu8e2trvftfVBapVA0xMhJ8FfzcxAYyMADXfmJIxxt5rnLgzxth7JCsLSEwEnj0THgkJ735PTARSU2WT80I3aJQhEgE6OtIJuvgBCMm7OJEv+MjNLb5eLS0hgS+YzFerBlhZAfb2wsPBQfp3CwtO9hljVRcn7owxVklkZwMPHgB37wJxce8S8oIJ+n//ST9HR+dd4mtnB9StK9vzXbg3vPDv+vqqJct5ecDr10X35Bf8veCyFy+A27eFNqWkSNeppye0o2BCb28P1KgB1KkD1KsH2Nhwcs8Yez9x4s4YYxVIfj7w9KmQnBd+PHworAeEZLpg4urtLb+X2tLyXc94edPWBkxNhYeq3r4VzhQUPHNQ8IvKX38Jv798+e45pqZCAl/4Ubdu6WJhjDFN48SdMcY0IDcXiIkBoqOB2Nh3yfm9e++GrujqArVrC0mnv790EmpvXzV6lQ0MAGdn4VGct2+B+/dlv+ycOAEkJb0rZ2cnvR/d3AAPD8DWtixbwSqyIUOGIDIyEnFxcZoOhbESceLOGGNlLCcHuHULuHoVuHJFeFy//i5Br1VLSCLbtweGDXuXVDo5CUNdWMkMDIQk3M1Ndl1amvCFqGBCHx0N7NwpDM0BhKE2Hh7Cw91d+GlvX75tYO9s3LgRQUFBRa4/f/482rRpU44RAd7e3nj58iVu3rxZrttVhzdv3mDMmDG4cOECnjx5gry8PLi6umLo0KEIDg6Grq6uVPnw8HDMmjULV69ehb6+Pjp27IjFixfDuYRv0Pn5+fjtt9+wb98+REdHIzk5GS4uLujbty8mTZoEAwODMmxl1cD/EhhjTI2ys4UkXZygX7kC3LghXDQqEgENGghJYd++ws/mzYVx5KzsmJkBLVoIj4KIhGsFCr5WK1YAycnCenv7d8m8OKF3cKgaZzoqitmzZ8PFxUVmeZ06dTQQTeX15s0b3Lp1C5988gmcnZ2hpaWFc+fOYcKECbhw4QK2bdsmKXv48GH07NkT7u7uWLBgAdLT07FixQp4enoiOjoa1tbWRW4nMzMTQUFBaNOmDUaNGgUbGxucP38eoaGhOHnyJE6dOgURf4BKhRN3xhgrheRk4PRpIDISOHtWSNKzs4Vx5Q0bCgnfgAFC0te8uXDRJ6sYRCLAxUV4BAYKy4iAR4+kz46sWvVuDL2tLdCqFdChg3BdQfPmwlh+Vja6du2KFoW/cTGlWVhY4O+//5ZaNmrUKJiZmeGnn37C0qVLYWdnBwD45ptvULt2bZw9exZ6enoAgO7du0sS+SVLlhS5HT09PZw9exbt2rWTLBsxYgScnZ0lyXunTp3KoIVVB9+AiTHGlJCcDBw4AIwfLyRtVlZAQABw6BDQqBGweLGQwKenAzdvAps2AePGAZ6enLRXBiKRMJ7+00+BuXOBP/8Uxsg/egTs2wcMHy7Ma//dd0IPvoUF0K2b8LpfvlzyFJhMveLi4iASibB48WL88ssvcHV1hb6+Plq2bIlLly7JlD9w4AAaN24MAwMDNG7cGPv371d7TKtXr4abmxv09fXh4OCAkJAQpKamSpW5d+8eevXqBTs7OxgYGMDR0RF9+/ZFWlqapEx4eDg8PT1hbm4OExMT1K9fH99++61UPY8fP8adO3dUjlU89EUcX3JyMmJiYhAQECBJ2gGgWbNmaNiwIXbs2FFsfXp6elJJu1hAQAAA4Pbt2yrHygTc484YY8X47793PeqRkUKPOiD00np7AxMnCr2vTk4aDJKVKZFIuA6hVi3hSxognFW5dOnd+2LGDODNG2HWmvbthfeGuEeer1NQXVpaGl4WnDIIgEgkgqWlpdSybdu2ISMjA1988QVEIhEWLlyITz/9FA8ePJCM3z5+/Dh69eqFRo0aYf78+fjvv/8QFBQER0dHtcU7c+ZMzJo1C506dcLo0aMRGxuLsLAwXLp0CWfPnoWuri6ys7PRpUsXZGVlYezYsbCzs0N8fDwOHz6M1NRUmJmZ4datW+jWrRuaNm2K2bNnQ19fH//++y/Onj0rtb1BgwYhKioKRKRQfNnZ2UhPT8ebN29w+fJlLF68GE5OTpKhR1lZWQAAQ0NDmecaGRnh1q1bSExMlPTOKyoxMREAYGVlpdTzmBzEykVaWhoBoLS0NE2HwhgrRmYm0eHDROPGETVtSiQMniBycSEKCiLatIkoLk7TUbKKJiuL6K+/iObMIerUicjQUHjfmJoS+fkRLV5MdPs2UX6+piOtHDZs2EAA5D709fUl5R4+fEgAyNLSkpKTkyXLDx48SADo999/lyxr3rw52dvbU2pqqmTZ8ePHCQA5OTmVGFOHDh3Izc2tyPVJSUmkp6dHvr6+lJeXJ1n+008/EQBav349ERFFR0cTANq9e3eRdS1btowA0IsXL0qMSZlUbvv27VL7skWLFnTjxg3J+ry8PDI3N6eOHTtKPe/ly5dkbGxMAOjy5csKb0+sU6dOZGpqSikpKUo/t7xV9HyNh8owxqq8xETg11+Bnj2FoS/duglDXzw8hKEucXHCjY/WrwcGDeLedSZLTw/48ENg2jQgPFy4Q+3Zs8A33wi98999J1zzUK+ecJYmIkKYbYgVb9WqVQgPD5d6HD16VKZcnz59UL16dcnf7du3BwA8ePAAAPDs2TNcu3YNgwcPhpmZmaRc586d0ahRI7XEeuLECWRnZ2P8+PHQKnDzhBEjRsDU1BRHjhwBAMn2jx07hszMTLl1mZubAwAOHjyIfPHNG+SIjIxUuLcdAHx8fBAeHo7du3dj1KhR0NXVxevXryXrtbS08MUXX+DkyZOYOnUq7t27hytXrqB3797Izs4GIFzoqox58+bhxIkTWLBggaRdrBQ0/c2hqqjo3+AYq0ry84muXxd6R1u1EnpGtbSIPD2JfviBKCaGe0aZemVmEv3+O9HIkUQODsJ7ztycqF8/om3biCpBR2S5Eve4X7p0qdhy4h73BQsWyKwDQDNnziQiovPnzxMA+vXXX2XKBQQEqKXHff78+QSA7t+/L7OuefPm1KJFC8nfEydOJABkaGhIvr6+9NNPP0mdCcjMzKQPP/yQAJCVlRX16dOHdu7cKdWTrw5z584lExMTevbsmWRZVlYWDRs2jLS0tCQ9876+vjRq1CgCQNHR0QrXv2PHDhKJRDRs2DC1xl2WKnq+xj3ujLEqISsLOH4cGDNGuPiwWTNgwQJh3PKmTcDz58CZM8DkyULPKM9YxtTJ0FA4k/Pzz8CTJ8KFrOPGAXfuAP37A9bWwEcfAcuWAf/+q+loKx/tIqb2ISV6o8vTkiVLcOPGDXz77bd48+YNxo0bBzc3Nzx9+hSAMMb89OnTOHHiBAYOHIgbN26gT58+6Ny5M/Ly8tQWR2BgIF69eoWDBw9Klunp6WHdunVISEjA6dOnERsbi2PHjiEtLQ1aWloKT8UZHh6OQYMGwc/PD2vWrFFbzFUdJ+6MsfdWZiawY4cw1Z+VFdClC/D770CPHsCxY8IUf7t3C8Nf+JopVl60tIRhWLNmCdNOPn4M/PijcBOpqVOBunWFGYqmTBFu1FVBc89Kxen/49vu3bsnsy42Nlat2yhcX3Z2Nh4+fChZL9akSRNMnz4dp0+fxpkzZxAfHy+V4GppaaFjx45YunQpYmJiMHfuXJw6dQoRERFqiRd4N+yl4Gw2Yra2tmjfvj3q1auHvLw8REZGonXr1jBRYHqsCxcuICAgAC1atMCuXbugw1doqw0n7oyx90purpCUDxokzLndr5+QGImToLg4YOVKwNcX0NfXdLSMATVrAqNHA3/8IXyZ3LcPaNMGWLdOmJWmSRNg/nxhSkqmGnt7ezRv3hybNm2SmXIxJiZGLdvo1KkT9PT08OOPP0r19P/6669IS0uDn58fACA9PR25heYNbdKkCbS0tCSzuiSL7wJWQPPmzQG8m/kFUHw6yJcvX8o9+7Bu3ToAKHGu/MWLF+PZs2f46quvpJbfv38f9+/fl1p2+/Zt+Pn5wdnZGYcPH5Y7Qw1THX8FYoxVekTC1Hxbtwq3sX/+HKhfXxj20r8/4Oqq6QgZU4yJiTDlZECAcPHq8ePC+/r774FvvxXuB/D558BnnwGFZkR8Lx09elRuYtquXTvUrl1bqbrmz58PPz8/eHp6YujQoUhOTsbKlSvh5uaGV69eKVTHixcvMGfOHJnlLi4u+PzzzzF16lTMmjULH3/8MXr06IHY2FisXr0aLVu2xIABAwAAp06dwpgxY/DZZ5+hXr16yM3NxebNm6GtrY1evXoBEO4Ye/r0afj5+cHJyQlJSUlYvXo1HB0d4enpKdmuotNBbtmyBWvWrIG/vz9q166NjIwMHDt2DOHh4ejevTs++ugjqbJ79+6Fl5cXTExMcOLECezatQvDhw+XxCfWsWNHAMJ8+gCQkZGBLl26ICUlBV9//bXkglwxV1dXtG3bVqF9zYqg2SH2VUdFv9iBscro7l2i0FCiunWFi/3s7IjGjye6dIkvLmXvl4wMos2biT7+mEhbm0hXl6h7d6IdO4hev9Z0dOpX3HSQAGjDhg1E9O7i1EWLFsnUAYBCQ0Ollu3du5caNmxI+vr61KhRI9q3bx8NHjxY4YtTi4qn4PSJP/30EzVo0IB0dXXJ1taWRo8eLTUN4oMHD2jo0KHk6upKBgYGZGFhQT4+PnTixAlJmZMnT1LPnj3JwcGB9PT0yMHBgfr160d3796VG1NJLl26RJ999hnVqlWL9PX1ydjYmNzd3Wnp0qWUk5MjVfbChQvk5eVF1atXJwMDA2rWrBmtWbOG8uUcVJ2cnKT2nfj1KOoxePDgEmPVtIqer4mIePRceUhPT4eZmRnS0tJgamqq6XAYq7SePxd61bduBS5eBKpVE+5y+fnnwsV9fPt59r4r/BkwMQF69eLPAGPqUNHzNU7cy0lFfyMwVpHl5wMnTwJhYcL86lpaQNeuQqLSvbswYwdjVdG9e8C2bUISf+8eUKMGMGKE8HBw0HR0jFU+FT1f48S9nFT0NwJjFVFyMrBxI7BmjZCUNG4MjBolXHBqYaHp6BirOIiEKSbXrROS+LdvAX9/4aLXjz7i6U0ZU1RFz9d4VhnGWIVCJJz+DwoSeg+nTAFatBDmWL9xAwgJ4aSdscJEIqBlS2Ge+Ph4YPly4PZtoFMn4b4Ey5cDKSmajpIxVlqcuDPGKoTMTODXX4UkvXVr4ZbwoaHA06fCUABPT+41ZEwRZmbCjcZu3gSiooQpJSdPFr4IDxsm9MwzxionTtwZYxp15w4wfrwwHnfECMDODjh8GLh/X+htt7HRdISMVU4iEeDlJdyE7PFjYNo0IDxc6Jlv1QrYsEH4wswYqzw4cWeMlTsi4WJTX1/hNP7WrcLY9fv3gSNHAD8/nhmDMXWysxMS94cPgYMHhTnghw0DHB2F5UlJmo6QMaYITtwZY+UmLw/Yu1fo7evUSbhL5JYtwnCYBQsAFxdNR8jY+01bG+jRAzh6VLjgOygIWLECcHISrh95+FD+8/LygMhIYPt24WdeXnlGzRgTe+8T9/nz56Nly5aoVq0abGxs4O/vj9jYWKkyb9++RUhICCwtLWFiYoJevXrh+fPnUmUeP34MPz8/GBkZwcbGBl9//bXMLYsZY/JlZwPr1wNubkBgoDD3+rFjwJUrwpSO+vqajpCxqsfVFViy5N0wml27gLp1hc/kP/+8K7dvH+DsDPj4CHci9vER/t63T1ORM1Z1vfeJe1RUFEJCQvD3338jPDwcOTk58PX1xevXryVlJkyYgN9//x27d+9GVFQUEhIS8Omnn0rW5+Xlwc/PD9nZ2Th37hw2bdqEjRs3YsaMGZpoEmOVxqtXwNKlQO3awmn5hg2B8+eBU6eEYTJ8sSljmmdhAUyfDjx6BCxbBvz1F9C0KdCtGzB3rvBl++lT6efExwvLOXlnrHxVuXncX7x4ARsbG0RFRcHLywtpaWmwtrbGtm3bEBgYCAC4c+cOGjZsiPPnz6NNmzY4evQounXrhoSEBNja2gIA1qxZg2+++QYvXryAnp5eidut6POCMqZOL18CK1cKj4wMYMAAYVaLhg01HRljrCQ5OcIFrQsWADExRZcTiYQx8g8f8jUp7P1R0fO1977HvbC0tDQAgMX/J4K+cuUKcnJy0KlTJ0mZBg0aoFatWjh//jwA4Pz582jSpIkkaQeALl26ID09Hbdu3ZK7naysLKSnp0s9GHvfPX4MfPklUKsWsHgxMHgw8OCBMHsFJ+2MVQ66usDAgcIX7+IQAU+eCPdYYIyVjyqVuOfn52P8+PH48MMP0bhxYwBAYmIi9PT0YG5uLlXW1tYWiYmJkjIFk3bxevE6eebPnw8zMzPJo2bNmupuDmMVxvPnwNixQJ06wsWmkycLSfyyZQC/9RmrnApd6lWkZ8/Uv+2NGzdCJBLBwMAA8fHxMuu9vb0l/8crCmdnZ3Tr1k3yd2ZmJmbOnInIyEjNBaUEZ2dniEQiuY+6detqOjz2fzqaDqA8hYSE4ObNm/jrr7/KfFtTp07FxIkTJX+np6dz8s7eO2lpQs/6smVCL93s2cKNX0xMNB0ZY6y07O0VK2dnV3YxZGVlYcGCBVhZUvd/BZSZmYlZs2YBEL5oVHTLly/Hq1evpJY9evQI06dPh6+vr4aiYoVVmcR9zJgxOHz4ME6fPg1HR0fJcjs7O2RnZyM1NVWq1/358+ew+//RyM7ODhcvXpSqTzzrjF0RRyx9fX3o81QZ7D315g2wahUwf77w+5dfCr3s1atrOjLGmLq0by+MYY+PF4bFFGXWLMDQEGjTRv0xNG/eHGvXrsXUqVPh4OCg/g1UQq9fv4axsbHa6/X395dZNmfOHADA559/rvbtMdW890NliAhjxozB/v37cerUKbgUmijaw8MDurq6OHnypGRZbGwsHj9+jLZt2wIA2rZti3/++QdJBe5QER4eDlNTUzRq1Kh8GsJYBZCbC6xbJ0wZN2UK0Ls38O+/QgLPSTtj7xdtbWGOd2EOi3ypdSKR8JgyBfjvP6BtWyAgACjisi+Vffvtt8jLy8OCBQuKLRcXFweRSISNGzfKrBOJRJg5c6bk75kzZ0IkEuHu3bsYMGAAzMzMYG1tje+++w5EhCdPnqBnz54wNTWFnZ0dlixZonTccXFxsLa2BgDMmjVLMuSkYBx37txBYGAgLCwsYGBggBYtWuDQoUNS9YiHDEVFRSE4OBg2NjaSzseMjAyMHz8ezs7O0NfXh42NDTp37oyrV69Knp+ZmYk7d+7g5cuXSrcBALZt2wYXFxe0a9dOpecz9XvvE/eQkBBs2bIF27ZtQ7Vq1ZCYmIjExES8efMGAGBmZoZhw4Zh4sSJiIiIwJUrVxAUFIS2bduizf+7D3x9fdGoUSMMHDgQ169fx7FjxzB9+nSEhIRwrzqrEoiAPXuAxo2BESOEnrjbt4GwMIA7wRh7fwkzI/cCID3O3NFROCbMnw9cuwZs3iz8bNoUGDJEmFpSHVxcXDBo0CCsXbsWCQkJ6qn0//r06YP8/HwsWLAArVu3xpw5c7B8+XJ07twZNWrUwA8//IA6depg0qRJOH36tFJ1W1tbIywsDAAQEBCAzZs3Y/PmzZKppm/duoU2bdrg9u3bmDJlCpYsWQJjY2P4+/tj//79MvUFBwcjJiYGM2bMwJQpUwAAo0aNQlhYGHr16oXVq1dj0qRJMDQ0xO3btyXPu3jxIho2bIiffvpJ6f0THR2N27dvo3///ko/l5Uhes8BkPvYsGGDpMybN28oODiYqlevTkZGRhQQEEDPnj2TqicuLo66du1KhoaGZGVlRV999RXl5OQoHEdaWhoBoLS0NHU1jbFyER5O5OFBBBB17Up09aqmI2KMlZfff/+dAJCdXQ2KiCDato0oIoIoN1e2bFYW0U8/EdnYEOnpEX35JdHz56ptd8OGDQSALl26RPfv3ycdHR0aN26cZH2HDh3Izc1N8vfDhw9l/reLAaDQ0FDJ36GhoQSARo4cKVmWm5tLjo6OJBKJaMGCBZLlKSkpZGhoSIMHDy4xZicnJ/Lz85P8/eLFC5lti3Xs2JGaNGlCb9++lSzLz8+ndu3aUd26dWX2g6enJ+UW2ulmZmYUEhJSbEwRERFFxlCSr776igBQTEyM0s+tzCp6vvbej3EnBaapNzAwwKpVq7Bq1aoiyzg5OeGPP/5QZ2iMVWi3bgHjxwMnTginwSMjgQ4dNB0VY6w8de/eHQBw4cI51KpVfFk9PSAkRJgGdsUKYOFC4NdfgalTga++Uv0OybVr18bAgQPxyy+/YMqUKbBX9KrZEgwfPlzyu7a2Nlq0aIGnT59i2LBhkuXm5uaoX78+Hjx4oJZtAkBycjJOnTqF2bNnIyMjAxkZGZJ1Xbp0QWhoKOLj41GjRg3J8hEjRkC70GT55ubmuHDhAhISEooc/+/t7a1QHlRYfn4+duzYgQ8++AANeS7fCuW9HyrDGFNOWhowcSLQrJlwuvvAAeDsWU7aGatqxOOta9asiVolZe0FmJgA06YJ93AYMQIIDRWG2ZWm72v69OnIzc0tcay7Mgq3yczMDAYGBrCyspJZnpKSorbt/vvvvyAifPfdd7C2tpZ6hIaGAoDUNXUAZK7PA4CFCxfi5s2bqFmzJlq1aoWZM2eq7QtGVFQU4uPj+aLUCogTd8YYACA/H/jtN6B+feDnn4E5c4B//gF69hQuQmOMVR1EhJ49ewIAzp07p1IdlpbA0qXA9euAkxPg5wf06CEk9MqqXbs2BgwYgF9++QXP5EwcLyriIJWXl1dknYV7sItaAmhpfwAAIABJREFUBih29l5R+fnChb6TJk1CeHi43EedOnWknmNoaChTT+/evfHgwQOsXLkSDg4OWLRoEdzc3HD06NFSx7h161ZoaWmhX79+pa6Lqdd7P1SGMVaya9eEU9znzgF9+ghzsxeYNZUxVsUcOHAAgHBTHsdSHgwaNQLCw4G9e4WzeY0aAd98IzyMjBSvZ/r06diyZQt++OEHmXXV/z+tVWpqqtTyR+q6SlYFRX2ZqF27NgBAV1dX6q7tqrC3t0dwcDCCg4ORlJQEd3d3zJ07F127dlW5zqysLOzduxfe3t48BWcFxD3ujFVhyclCwu7hIQyROXUK2LGDk3bGqjIiksx+oq4bFopEQGCgMBvVpEnAggVCAr9/f/FzxBfk6uqKAQMG4Oeff5a5a7mpqSmsrKxkZn9ZvXq1WuJXhdH/v5UU/jJhY2MDb29v/Pzzz3LPHrx48aLEuvPy8pCWliZTr4ODA7KysiTLVJkO8o8//kBqaioPk6mguMedsSooLw9Yv164aCwnB1iyREjgdXU1HRljTNP27t0LQEiUC14gqQ7GxsIwvCFDhBu3ffop4OsL/PijMEyvJNOmTcPmzZsRGxsLNzc3qXXDhw/HggULMHz4cLRo0QKnT5/G3bt31Rq/MgwNDdGoUSPs3LkT9erVg4WFBRo3bozGjRtj1apV8PT0RJMmTTBixAjUrl0bz58/x/nz5/H06VNcv3692LozMjLg6OiIwMBANGvWDCYmJjhx4gQuXbokNe/8xYsX4ePjg9DQUKk55IuzdetW6Ovro1evXqVpPisj3OPOWBVz4YJwh8ORI4Fu3YDYWGH2GE7aGWNEhM8++wwAlJ67XBl16gCHDwOHDgH37gFNmghDZ169Kul5dTBgwAC562bMmIFhw4Zhz549mDx5MvLy8tQy3rs01q1bhxo1amDChAno168f9uzZAwBo1KgRLl++DD8/P2zcuBEhISFYs2YNtLS0MGPGjBLrNTIyQnBwMK5du4bQ0FBMmDABsbGxWL16NSZOnKhyvOnp6Thy5Aj8/PxgZmamcj2s7IhInVdcsCKlp6fDzMwMaWlpMDU11XQ4rApKTwcmTxYuPG3eHPjpJ+DDDzUdFWOsItm1axf69OmD+vXr486dO+WyzbdvgUWLgHnzhAtaw8KA/89CyVi5q+j5Gve4M1YFHD8uTMe2dSuwciVw+TIn7YwxaUSEPn36AAAiIiLKbbsGBsB33wnj35s1E2aeGTRIuAaHMSaNE3fG3mNpacDw4UCXLkC9esL0jmPGAEXMeMYYq8J27twJQBjGoa6bHCnD2VkYPrNpE/D774Cbm3AfCcbYO5y4M/aeOnpU6GXftUsYHhMeLvxjZIyxwohIMmf3yZMnNRaHSCT0tt+6BbRsCQQEAP37A0pMisLYe40Td8beM6mpwNChwCefCNOt3bwpXIjKN1FijBVl27ZtAIAmTZrAzs5Ow9EADg7AwYPAli3An38Kve/79mk6KsY0jxN3xt4jhw8L/+D27gV+/VX4h6fEncoZY1UQEUlmagkPD9dwNO+IRMDnnwMxMUC7dkCvXsIN4hSY5pyx9xYn7oy9B5KThdPL3bsLF3fduiX0unMvO2OsJFu2bAEAfPDBB7C1tdVwNLLs7ITe9u3bgZMnhTOJu3drOirGNIMTd8YqOfFFXIcOARs3AkeO8J1PGWOKISIMGjQIAPDnn39qOJqiiURA375Cp0SHDkDv3sKdWLn3nVU1nLgzVkm9fSvMENOjB+DhIfxDGzyYe9kZY4r77bffAAAtWrSAjY2NhqMpma0tsGePcNF9VJRwhvHUKU1HxVj54cSdsUooNla4++m6dcCqVUKvu5rvTM4Ye88REYYMGQIA+OOPPzQbjJI++wy4cQNo2BDo1EmYBz43V9NRMVb2OHFnrJLZtEnoYX/7FrhwAQgO5l52xpjy1q9fDwBo3bo1rK2tNRyN8uzthZvLff89MH8+4OMDPHmi6agYK1ucuDNWSWRkCBegDhki9DZduSKcJmaMMWUREYYPHw4AOHz4sIajUZ22NjBtGhAZCTx6JBwTDx7UdFSMlR1O3BmrBK5eFXrZ9+8HNm8GNmwAjI01HRVjrLJat24dAKBdu3b4H3t3Hmdz+QVw/HNnxpot+5ooJCnLkLWQLWWXfUt2SkWEVD+KSEpliciSPdsQsq/Zl7JP1iyDsgyDYZbv749jDNlmufc+33vveb9e9zWWa+4Zc+fe8z3Pec6TMWNGw9EkXrlysGuXbFytUwfeeUdWJZXyNpq4K2VjlgXffgulS0Pq1JLA3xq3rJRSCRIdHU379u0BCAoKMhyN86RPL2Mjv/9eTosuXRqCg01HpZRzaeKulE2dPw+1a0O3btLH/vvvkC+f6aiUUp5u7NixAJQvX54MGTIYjsa5HA7o0kX2/1y7BsWKySqlUt7CYVmWZToIX3D58mXSpk1LaGgoadKkMR2Osrn166FJE3njmTBBDlZSSqnEio6Oxt/fH4Dz58+TPn16wxG5TliYjMydOFH2B40YAalSmY5K2Z3d8zWtuCtlI5YFI0fKdIQ8eeCPPzRpV0o5z+jRowGoUKGCVyftIEn6hAkwaRLMng1ly8LRo6ajUipxtOLuJna/glPm3bwJb78NY8ZIe8zQoRAQYDoqpZS3uLPafuHCBR5//HHDEbnPnj3SehgaCrNmSXFEqfuxe76mFXelbODsWahUSapD48fDN99o0q6Ucq4RI0YAULlyZZ9K2gGeew62boWiRaFKFdnAqmVL5Ym04u4mdr+CU+bs2CHjyyIiZCJC6dKmI1JKeZs7q+0XL14kXbp0hiMyIzISPvhAiiNt20oCnyyZ6aiUndg9X9OKu1IGTZsmfZdZs8K2bZq0K6Vc47vvvgOgWrVqPpu0g6xkfv21nIUxaZKsdJ49azoqpeJOK+5uYvcrOOVeUVHw0UfwxRcyl33MGEiRwnRUSilvFBUVRcCt3jtfrrb/16ZNUK+enL46b54ccqeU3fM1rbgr5WahoVCrFgwZIhtQJ03SpF0p5TrDhw8HoEaNGpq036FUKVnpzJ5dTl6dOtV0REo9mlbc3cTuV3DKPYKDJWk/examT4dq1UxHpJTyZndW2y9dukTatGkNR2Q/4eHQoYMUUXr2hIEDpQqvfJPd8zWtuCvlJsuXQ8mS4OcHW7Zo0q6Ucr1hw4YBUKtWLU3aHyB5cpnoNWyYrILWqiWHNyllR1pxdxO7X8Ep15o6FVq3hldegRkzQJ8CSilXu7Paru89cbN0KTRoAAUKwK+/QubMpiNS7mb3fE0r7kq52LBh0KwZNG0KQUGatCul3GPo0KEA1K1b15YJiB1VrQpr18LJkzLx68gR0xEpdTetuLuJ3a/glPNFR0OvXrL02rs3fP45OBymo1JK+YLIyEiSJEkCyPtP6tSpDUfkWY4elXbGy5dh0SIoVsx0RMpd7J6vacVdKRe4eRNatoSvvoJvv5XNTpq0K6XcZfDgwQA0aNBAk/YEyJMHNmyAJ56Al1+WPUpK2YFW3N3E7ldwynmuXJEeydWrYfJkaNjQdERKKV+i1XbnCQuT1/Dly2HiRGjSxHREytXsnq9pxV0pJzp7FipWlIM9lizRpF0p5X6DBg0CoFGjRpq0J1KqVDB/vuxRatpUTl1VyiStuLuJ3a/gVOIdPiw9kVevStL+wgumI1JK+Zo7q+1XrlwhVapUhiPyDpYFffrIadc9esDgwTLaV3kfu+drAaYDUMobbN8ONWpAunSwcSM8+aTpiJRSvuizzz4DoGnTppq0O5HDAYMGQbZs8O67cOYMjBsHSZOajkz5Gq24u4ndr+BUwq1YAXXqwLPPytzfjBlNR6SU8kUREREkvZVJhoWF8dhjjxmOyDvNnAktWkCFCjBnDuh/s3exe76mCz1KJcLixfDaa1CuHKxcqUm7Usqc/v37A9CiRQtN2l2oYUN57f/9d3j1VRlIoJS7aMXdTex+BafiLygI3nhDXrhnzIBkyUxHpJTyVVptd7+NG6F6dShUSBL5tGlNR6Scwe75mlbclUqA2bOhfn2oWVOWTTVpV0qZ9MknnwDQunVrTdrdpHRpGRO5f7+cuHrxoumIlC/Qirub2P0KTsXdjBnQrJlU2ydPhgDd4q2UMujmzZsku1U9uHr1KilTpjQckW/ZsQOqVJGhBEuXQoYMpiNSiWH3fE0r7krFw9SpsfN8NWlXStnBxx9/DEDbtm01aTegWDFYtQr+/hsqVYJ//zUdkfJmWnF3E7tfwalHmzYNmjeHli3hxx/B3990REopX3dntf3atWukSJHCcES+a+9eSdyzZZNpY1p590x2z9e04q5UHMyYIUl78+aatCul7KNPnz4AtG/fXpN2wwoVkoT91ClpnblwwXREyhtpxd1N7H4Fpx5s1ixo0kRuEyZo0q6UsocbN26QPHlyQKvtdrJ7N1SsCLlzy+bVxx83HZGKD7vna1pxV+oh5syRhL1RI03alVL20rt3bwA6deqkSbuNFC4slfdjx2TazKVLpiNS3kQr7m5i9ys4da9ff5UTURs00I2oSil7ubPafv369du/Vvaxa5f0vOfPL5X3VKlMR6Tiwu75mlbclbqPDRtk3OPrr2vSrpSyn549ewLQtWtXTdptqkgRWLZMNq02aAA3b5qOSHkDrbi7id2v4FSsPXugfHl44QVYsgT0PVEpZSfh4eG3W2O02m5/K1fKCdv168PPP4Oflkxtze75mj59lLrD8eNQrZpsKpo/X5N2pZT9dO/eHYBu3bpp0u4BKlWCKVNg+nR4/33QcqlKDK24u4ndr+CUHJpRrpwsZ27YILN4lVLKTu6stoeHh9+e4a7sb9Qo6NwZBg6EW/uKlQ3ZPV/Tzl2lgLAwqFEDLl7UpF0pZV/vvfceAO+//74m7R6mUyc4dw769IFMmaBtW9MRKU+kFXc3sfsVnC+7eVM2oW7aBGvWQNGipiNSSql7Xb9+nZQpUwIyVSZp0qSGI1LxZVnQtSuMHg2zZ8vkMmUvds/XtMdd+bToaGjdWhL2+fM1aVdK2Ve3bt0A+OCDDzRp91AOB3z7rWxUbdxY3nuUig+tuLuJ3a/gfJFlQbdu8P33cjpq/fqmI1JKqfu7du0ajz32GKDVdm9w4wa89hps3Qpr18oUM2UPds/XtOKufNbAgfDdd7JhSJN2pZSdde3aFYAPP/xQk3YvkCwZzJ0LTz8N1avDkSOmI1KeQivubmL3Kzhf89NP0KYN9O8P/fqZjkYppR7szmr7zZs3SZIkieGIlLOcOwdly8oK8KZNkDGj6YiU3fM1rbgrn7N+PXToILePPjIdjVJKPVznzp0B6Nu3rybtXiZzZli6FEJD5bTuiAjTESm704q7m9j9Cs5XHDsGJUtCoULyYqnvgUopO7t69SqpUqUCtNruzdatg1degbfekvZNZY7d8zWtuCufERYGtWtDqlSyGVXf/5RSdtexY0cAPv74Y03avVj58jBypIyJHDnSdDTKzrTi7iZ2v4LzdtHRsgF1+XLpIyxUyHRESin1cGFhYaROnRrQaruvePddmXS2dClUqmQ6Gt9k93xNK+7KJ3zyicxpnzZNk3allGdo164dAJ9++qkm7T5i6FBJ2Bs0gEOHTEej7Egr7m5i9ys4bzZjhhx08cUX0KuX6WiUUurR7qy2R0REEBAQYDgi5S4XL0KpUuDvDxs3Qtq0piPyLXbP17Tirrza9u1yMmrz5tCzp+lolFIqbtq0aQPAgAEDNGn3MY8/DkFBcPo0NG0KUVGmI1J2ohV3N7H7FZw3CgmBEiUgRw45Vjp5ctMRKaXUo125cuX2+4RW233Xb79BjRrQvTsMGWI6Gt9h93xNK+7KK4WHQ506cqjFvHmatCulPEfr1q0BGDhwoCbtPqxaNel5//JLmDTJdDTKLrTi7iZ2v4LzJpYFrVrJyMd16yAw0HRESikVNzHvFaDVdiXvZ2+9BVOmyMpxqVKmI/J+ds/XtOKuvM7IkTB5Mowfr0m7UsqztGzZEoDBgwdr0q5wOORAphIlZKTxP/+YjkiZphV3N7H7FZy32LEDSpeGDh3g229NR6OUUnEXGhpKunTpAIiMjMTf399wRMouTp2CIkUkgV+4EPy07Ooyds/X9FuvvMbly9CwIRQuLD2BSinlSZo3bw7Al19+qUm7ukuOHLKSvHix9L0r36UVdzex+xWcp7MsaNIEFi2CnTvhqadMR6SU54uOhqtX4coVCAuTj+HhMp4uOlpuliXVv5hbQACkSiW31KnlljSpLPmrB7t06RKPP/44oNV29WC9e0thau1aKFPGdDTeye75mjbQKa8wdqwctDRjhibtSj1IVBScOyejUmNup0/f/fsLF2KT9KtXnfO4AQGSwKdKBWnSQObMkC2b3LJnj/11zO9vnTvkU5o2bQrAsGHDNGlXDzRggAxdaNwYdu2C9OlNR6TcTSvubmL3KzhP9uef8OKLctDSqFGmo1HKLMuCM2cgOPje2+HDEBERe1+HIzaJjkmgM2S4u1oe8+uYj8mTy4mO/v6xfbaWJdX3qCiIjJTEPyb5j/kY8+vLl+Hs2bsvGsLC7v4aMmSA/PnvvT39NKRM6b7/S3fRaruKjxMnpN+9XDkZd6yrWc5l93xNK+7Ko4WFSV97/vzw9demo1HKvW7ckAvXHTvklOCdO+HAgdhE2M8P8uSRn4+qVSFfPsidO7a6nSWLVMNNu3Ll7hWAI0fkQuPgQTlB8uLF2PvmygXPPQfFi0OxYvIxVy7PTl4aNmwIwPDhwzVpV4+UKxdMnAg1a8I338B775mOSLmTVtzdxO5XcJ7IsqBlS5g7V5KWAgVMR6SU60RGytL41q3yfN++HfbskT/394dChSSRLVQotkKdN6/0l3u68+djVw0OHoQ//pCv/+xZ+fuMGSWBj0nmS5eWFQQ72bhxI9euXaNSpUo47rjKuHjxIulv9TtERUXhp+NCVBz16CHT09avh5IlTUfjPeyer2ni7iZ2fyJ4op9+gjZt4OefoVkz09Eo5VyRkVJJX71abuvXS2U6ICC24hyTqD7/PKRIYTpi9zt9OvYiJuYWEiJ/lz8/VKggt5dfNpvIR0ZGkiRJEgBKlSrFgAEDeOWVV3A4HLzyyiusXLmS77//ni5dupgLUnmcmzfhpZfkAnbnTrg1SVQlkt3zNU3c3cTuTwRPs3evzLNt2hR+/NF0NEolXnS0JOorV96dqKdMKb2sMQlosWLSZ67u7/Rp2LAh9oJn3z758zsT+cqVIVMm98V0Z+Lu7+9PVFQUJUuWpFevXtSvXx/QartKmGPHoGhRqFQJfvnFs1vG7MLu+Zom7m5i9yeCJ7l2TZJ2hwO2bPHOzWrKN1y7BitWwIIFcqhKSMjdiXqFCnL6762cTyXA2bNyVHxMIr9/v7x2lC4tPcI1a8Kzz7o24bkzcY8Rk8ADtG3bljFjxtzVQqNUXM2bB3XrwnffQdeupqPxfHbP1zRxdxO7PxE8yTvvSJV92zZ5w1XKk4SESJIeFATLl8tc9Hz5YpPIsmU1UXelM2fkvIcFC2DpUrl4yps39v//pZec//9/v8T9v4oVK8aAAQN49dVXNYFX8fbOOzBmjOyDeeYZ09F4Nrvna5q4u4ndnwieYs0aqUJ+8w1062Y6GqXi5p9/5IyBqVNh40aZ9lK2rCSKtWrpxmpTrl+HVaskiV+wQI6VT5sW6tWTfTMVKsjG38SKS+IeU4EvWrQoAwYMoEaNGprAqzi7fl1GRD7+uLSK6XCihLN7vqaJu5vY/YngCcLCZBNezpyy5K3toMrOrl6VJewpU6Sy63BAtWrQqBHUqCGzypV9WJZs8Js7Vy6wjhyRDa2NG0sSX7Rowttp4pK4x3A4HFiWxbFjx8idO3fCHlD5pI0bpc1u0CDo2dN0NJ7L7vmapj7KY/TqJf2q48dr0q7sKSoKFi+G5s1lRnrz5hAaKiPbYlpkWrTQpN2OHA7Z+DtgABw6JElQvXowebJM73n2WfjsM9kM6EqWZVGrVi0yZszo2gdSXqd0aejeHfr1i92UrbyPVtzdxO5XcHa3ciW88opuvlH2dOaM7LsYM0ZONXzmGanSNm0q/dPKc0VEyF6EKVOkGn/9OlSvDp07w6uvxq0lIa6tMg6Hg6+++oq3335b22RUgoSHy+pQqlRy8WmHA9Y8jd3zNU3c3cTuTwQ7u3IFCheWEyBXrNBqu7IHy4K1a2HkSJgzRzY0NmkCHTvKJBjNu7xPWJjsVRg1SmbG584NHTrAW29B5swP/nePStz9/f3JkSMHs2fPJjAw0AWRK1+yZYtU3wcMgD59TEfjeeyer2kKpGzvgw/g33+1RUbZQ2gofP+9HIJUoYKc4vnll7Kxcdy42FGlyvukSiVJ+rZtkhxVrAj9+8u+m6ZNYd06uaD7L5n6+DLQ+NbHu1/I6tSpw59//qlJu3KKkiWlx/3TT2H3btPRKGfTNEjZ2rJl8MMPkhjlyWM6GuXLQkJkn0WuXPDee9LzvGKFzAV/912Z5qB8R4kScnrzqVMweLAk8y+9JEnT7Nkxybqsxjz9tD+wGph26+Mx/PzqkyRJEkaNGsWsWbNImzatqS9FeaFPP5VDx1q3lnYv5T20VcZN7L70YkeXL0tVM39+mcqh1XZlwqFDMHQoTJgAyZJJb/Pbb8vEEaViREdLoWHIENmTkz+/7MsZPVo2nMKdyzDRAAwdepzu3bUioVxj2zYoVQo++UQ2rKq4sXu+pom7m9j9iWBH7drB9OmwZ4/0kirlTjt3SiV11izImFGq7J06yZxvpR5m82b44gsZB/ogDodFzpwOjh7VmdvKdT76SF7Htm6VOe/q0eyer2kNU9nSkiUypWPYME3alXtt3SrTQooVkz7mESNkBOCHH2rSruLmxRcffUCcZTk4cUL64pVylX79oGBBaZm5edN0NMoZNHFXtnP1KrRvD1WrQtu2pqNRvuLAAWjQQHqU//5bDuEJDpYpMSlSmI5OeZqQEOfeT6mESJZM2vz27pW9YsrzaeKubOezz+SI+NGjdTqHcr2//5ZJIYUKSU/ohAnw558y2lFnIKuEypYtbvd72BhJpZyhWDHZQP/5564/QEy5nibuylYOHICvvoLevXWKjHKtf/+VUwbz54cFC+Drr+HgQWjVSnuOVeKVLy9jImM2oj7I22/LwU6620y50scfy+Sr994zHYlKLE3clW1YlryJ5colM2iVcoWbN2XJOG9eGDsW+vaFw4fhnXdkWVkpZ/D3h08+uXDrd3cn7w6H3AYPluS+Xj0oU0ZWfJRyhdSpZc/YvHmwaJHpaFRiaOKubOOXX+Ro8W+/heTJTUejvNGyZfD887Ki07o1HDkim7dSpzYdmfJGQ4aUAhqQIUP4XX+eM6e83vXsKaNuly+XvT0lS8pJrP/+ayZe5d0aNoRKlaRIER7+6Psre9JxkG5i9/FCpl25IjvfAwMfPkJNqYQ4fhzef18Ow3npJfjuO0nglXKVU6dOkVN6ZYiIiGb9egchIdL7Xr78ve1YkZEwapRcSPr5ST9y+/batqWca/9+eOEFeZ7pbPf7s3u+phV3ZQsDBsCFC/DNN6YjUd4kPFw2OxcsCJs2yaSY1as1aVeuV758eQBmz55NQICDChVkw3OFCvdPxgMCpFUwOBjq1pWDvkqUgN9/d2vYyssVLChFjIED4ehR09GohNDEXRm3b59sDOzbF5580nQ0ylssXy4n7/7vf5IQHTggiZNOKlKudvLkSY7eyorq1q0br3+bOTOMGwcbN0rlvWxZePNNuHjRFZEqX/TRR3Ko3Lvvmo5EJYQm7sooy4KuXSVh79HDdDTKG1y+LC0GVarAE0/A7t2yCVD72JW7lCtXDoB58+bhSOCVYqlScgLr6NEydaZQIQgKcmaUylelSiXFsqAgWLjQdDQqvjRxV0bNmAGrVknPsU70UIn1229SZZ82TfqFly+HZ54xHZXyJSdOnOD48eMA1KpVK1Gfy99fNqvu3SuzuGvXhubN4fx5Z0SqfFn9+lLceOcduH7ddDQqPjRxV8ZcuSK9dvXqQfXqpqNRnuzSJTlEqXp1KFAA9uyRE0/99BVOuVnp0qUBCAoKSnC1/b9y5JCzBiZNklF+hQpJFV6phHI4pGB28qSsSCrPoW9rypj//Q9CQ2XJTqmEWrRIquyzZslc9qVLIXdu01EpX3T8+HFOnToFQM2aNZ36uR0OaNFCqu+lSknBo0kTHR2pEq5AAWlR/eILGY2rPIMm7sqIo0dlXnvv3tKHrFR8hYfLptPXXoPChSWhadtWN58qc1588UUAFrqwcThbNqm2T50qF6nPPy/thkolRN++slG1b1/Tkai40sRdGdGvn7xY6PHLKiEOHoTSpaXCPmKEVN1z5TIdlfJlx44d4+zZswC89tprLn0sh0Oq7Xv2yHi/V16RI+0jI136sMoLPfaYrH5Pnw7bt5uORsWFJu7K7XbtkmrRJ5/Ii4ZS8TFpEhQvLhuqNm2SeddaZVemlSxZEoDFixe77TGzZZOq+4ABMpe7UiU4ccJtD6+8RKtWson/ww9NR6LiQhN35Xa9e0O+fNCmjelIlCcJC4OWLeVN5o03YNs2KFLEdFRKwdGjR/nnn38AqO7mnfb+/tLmsHo1HDsmPxM6NlLFR0AADBokU7iWLTMdjXoUTdyVW61aBUuWyHHeSZKYjkZ5il27ZBzenDkweTL89JPMIlbKDooXLw7Ab7/9ZiyGcuXk5+Sll2RsZLducPOmsXCUh6ldW9oPP/wQoqNNR6MeRhN35TaWJS8KJUvKDFml4mL6dChTRhL1HTtkjrVSdnH48GEu3jrWtGrVqkZjSZ9eLm6//14ObqpUCW613Sv1UA6HTJfZsUMmdCn70sRduc2cObBli7w4aE+yepSoKGmratJERt9t2AD585uOSqm7FS1aFIBlNumXc2L4AAAgAElEQVQxcDigSxdYswYOH4bAQN10qOLmpZdkSlffvrpaY2eauCu3iIyEPn3kgJyKFU1Ho+wuNFSWbocMgS+/lPaYFClMR6XU3Q4dOsSVK1cAqFy5suFo7laqlOwDyZZN2mimTTMdkfIEgwbJTPexY01Hoh7EJxL3tWvXUrNmTbJnz47D4WDevHl3/b1lWXz88cdky5aNFClSULlyZf7666+77nPhwgWaNWtGmjRpSJcuHW+99RZhYWHu/DI82vjxEBwsLwpKPUxwMLz4IqxfD7/+KgeE6AqNsqMit3ZHr1ixwnAk95cjB6xdK5u5mzaVVsWoKNNRKTsrXFgO+urfXwYCKPvxicT96tWrvPDCC4wYMeK+fz9kyBC+/fZbRo8ezebNm3nssceoVq0a4eHht+/TrFkz9u7dy7Jly1i4cCFr166lffv27voSPNq1a/Dpp9CsmU4BUQ+3ZInsgQBpq3LzgA6l4iw4OJirV68CUKlSJcPRPFjy5DBxInz1laxe1awJly6ZjkrZWf/+8hwZNsx0JOq+LB8DWHPnzr39++joaCtr1qzWl19+efvPLl26ZCVLlsyaNm2aZVmWtW/fPguwtm7devs+ixcvthwOh3Xq1Kk4PW5oaKgFWKGhoU76SjzHwIGWlSSJZR05YjoSZWc//GBZfn6WVaOGZV26ZDoapR4uWbJkFmCtXr3adChxtmSJZaVLZ1mFClnWiROmo1F29t57lpUqlWWdO2c6Eveze77mExX3hzl69Chnzpy5qz8xbdq0vPjii2zcuBGAjRs3ki5dOgIDA2/fp3Llyvj5+bF582a3x+xJLlyQzaidOkGePKajUXZkWXJyX4cO0LGjzKBOm9Z0VEo92IEDB7hx4wYAL7/8suFo4q5aNfj9d7hyRSY17dtnOiJlV336gJ+fjG5W9uLzifuZM2cAyJIly11/niVLltt/d+bMGTJnznzX3wcEBJA+ffrb9/mvGzducPny5btuvui77yAiQnapK/VfUVFyUffpp/DZZzLGzt/fdFRKPdxzzz0HyP4pT1OwoCTvadPKptUNG0xHpOwoY0Z4/3344QcdKWo3Pp+4u8qgQYNImzbt7VuuXLlMh+R2YWEwfDi0awf/ue5RiuvXoUED+PFHGDdOLu50E6qyu/379xN1a4dn+fLlDUeTMDlywLp1shGxcmU9aVXd39tvy6mqw4ebjkTdyecT96xZswJw9j+XlGfPnr39d1mzZuXcuXN3/X1kZCQXLly4fZ//6t27N6GhobdvJ06ccEH09jZmjCzJ9uhhOhJlNxcvQtWq8NtvMG8etGljOiKl4qZQoUIArF+/3nAkiZMunfz81agBdevKBbRSd0qfXlZER4zQDc124vOJe548eciaNetd47wuX77M5s2bKV26NAClS5fm0qVLbL/jFIuVK1cSHR3Niy++eN/PmyxZMtKkSXPXzZfcuAFDh8pYKR9cbFAPERIC5ctLf+3KlfD666YjUipu9u7di2VZAJQtW9ZwNImXPDnMnCl7S9q1035mda/33pP385EjTUeiYgSYDsAdwsLCOHTo0O3fHz16lF27dpE+fXqeeOIJ3n33XT777DPy5ctHnjx56NevH9mzZ6dOnToAFCxYkOrVq9OuXTtGjx5NREQEXbt2pXHjxmTPnt3Ul2VrEyfCmTPQq5fpSJSdnDwpx7Bfuya9tc88YzoipeIuprf9999/NxyJ8/j7y96SLFngo48gPFzGAWrbmgI5wOvNN+Hrr+HddyFlStMRKYcVUz7wYqtXr6bifY7rbNWqFRMmTMCyLD755BPGjBnDpUuXKFeuHCNHjiT/HeerX7hwga5du7JgwQL8/PyoX78+3377LalSpYpTDJcvXyZt2rSEhoZ6ffU9MhIKFIDixaWaoxTA8eOStEdGwqpVkDev6YiUirvdu3fz/PPPA+Ctb5tDhkixpVcvOSxPk3cFcpJq/vySvL/9tuloXM/u+ZpPJO52YPcngjNNnSqHLe3YAUWLmo5G2cGxY1ChgowXW7UKcuc2HZFS8eO4lcVu2rTpgS2S3uCbb6Q9ont3ObBJk3cF0va6Zg0cOgRJk5qOxrXsnq/5fI+7cq7oaKnUVK+uSbsSx49DxYoynWDtWk3alef5888/b//am5N2kHaI77+Xk1Z79pRzFpT68EM4cQKmTDEdifKJHnflPr/+Cnv26EYWJf7+W5L2mEp7zpymI1Iq/l544QUAtmzZYjgS9+jSRYow77wjPfDaNqMKFYLateVAxZYt9bwNkzRxV05jWTKVoFw5mRqifNuZM9LTblmwerVOF1KeadeuXbd/XaJECYORuNfbb8sBae+9J9NnPv3UdETKtN69oVQpmDtXzuBQZmjirpxm9WrYvBkWLTIdiTItNBRefTV2eswTT5iOSKmEKXqr52/btm2GI3G/d9+VKTO9e0OmTFKJV77rxRfhlVdg4ECoX19XYUzRHnflNAMHQpEi0t+ufFd4uCypHjsmB7zkyWM6IqUSZufOnbd/Xbx4cYORmNOrl1Td335bp4QpuYjbuVNe25UZWnFXTrFnDyxfLhNl9Crcd0VFyUShzZth2TI5Ul0pT1WsWDEAduzYYTgScxwOOUzvn3+geXM5TbNyZdNRKVMqVZJRz998o0U6U7Tirpxi1Cg5wKN+fdORKFMsCzp3hvnzpTJXrpzpiJRKuDtPyi7q4yOy/Pxg/Hhpk6hbF3ywa0jd4nBA165Scb/jXEvlRpq4q0S7fBkmTYL27b1/vqt6sE8+gTFj4McfoWZN09EolTiBgYHA3e0yvixJEvjlF5kuUqMG/PWX6YiUKY0aycrLqFGmI/FNmrirRJs8Ga5fl8Rd+aYffoABA2DwYGjd2nQ0SiXO1q1bb/+6SJEiBiOxl8cek5G/GTNC1apw7pzpiJQJKVLAW2/JKsy1a6aj8T2auKtEsSwYMUI2I+qMbt+0apVMm3j7bfjgA9PRKJV4JUuWBOCPP/4wHIn9ZMgAS5ZIsaZ+fbh503REyoSOHWV62LRppiPxPZq4q0RZswb279cxYb7q8GGZ51upEgwbphuTlefbvHnz7V8///zzBiOxryeegHnzYMsW2deip6v6nrx5ZeTviBH6/Xc3TdxVoowYAc88I6djKt9y+TLUqiUVuBkzIEBnVCkvUKpUKQB2795tOBJ7K1UKxo6FcePg229NR6NM6NJFRkPeca2r3EATd5Vgp07JCWqdO2ul1dfEjH08dQqCguDxx01HpFTibdy48favn3vuOYOReIaWLaFHD3j/fVi61HQ0yt2qVZNzOkaMMB2Jb9HEXSXYmDFyFHbLlqYjUe7Wt6+ckDt9uqy4KOUpwsLC7mqHuVOZMmUA2Lt3rztD8mhffCHzvBs1guBg09Eod/L3h06dZPyvblR2H03cVYJEREji3qIFpE1rOhrlTlOmyPSYL7/UAziU56lZsyalSpWifPnyrF69+vafb9iwAQCHw8Gzzz5rKDrP4+8vB+9lyyZjYC9dMh2Rcqc2bWLn/Cv30MRdJcjcuXDmjLTJKN+xb5+M/WzZUo5BV8rTXLlyBZC2mIoVK1KuXDlWrVpFuVsnhu3bt89keB4pbVppmTt7Ftq1082KviRDBmjcGEaPlhZK5XoOy9IfMXe4fPkyadOmJTQ0lDRp0pgOJ9FefllenNeuNR2Jcpdr16BkSfm+b9kiM52V74iOlvFvEREQGRl7i46Wjcl33lKmlJsdBQYG3nUqqr+/P1F3ZBzR0dE4dNNOgsyZIyMiR4zQoo4v2bpV3hvmz5eBBZ7O7vmazoFQ8XbggCTsOr/Vt7zzDhw5Ii/SmrR7D8uSSunJkxASEns7ffru3589K4l6XKVOLe0TMbfs2e/+fbZs8OSTcpiLSVH/KROWKVOG/v37U7lyZU3g46lePejaVVbjSpeGokVNR6TcoUQJuf3wg3ck7nanibuKt59/hnTpoE4d05Eod5kyRca+jR8vR54rz2RZcOIEbN9+9+2ff2Lv4+cHmTPHJtdFisi85mzZIFMmSJpUqupJkshHh0OWyGMq8BERcPXqvRcAO3bIx1udKoD0RxcsCMWLx96KFDFbrd+6dStVq1alRIkSfPbZZ1SpUkUT+HgYOhR+/x0aNpTveerUpiNS7vDmm3II37lz8vqhXEdbZdzE7ksvcRUdLQcvVK0qm1OV9wsOloSqbl2YOFFHf3qSkBDYuPHuJP3ff+XvsmS5O1nOnVuS88yZXTuTPywsNqE/eDA2rt275RROP7/YZL5YMQgMlGX4JEmc8/j/bZV5ED8/P6Kjo5kxYwYNGzZ0zoP7iEOH5Hv3+uty0a+vGd7v/HnImhW++kpWZz2Z3fM1rbireNmwAY4fh+bNTUei3CE8XCpnOXLAyJH6Bmx3lgV//CEbBRcsgG3b5M+zZZNEuEuX2IQ4e3Yz389UqSBfPrm9/HLsn9+8CXv2SJU2JpmfMQNu3IA0aaTqX7OmfEyf3vVxOhwOMmTIwNNPP+36B/MyTz8thzM1biyH87VrZzoi5WoZMkCNGrIi7+mJu91p4q7i5eefpTJ3awCD8nK9eklVdPNmSbiU/YSHw+rVkqwvXCitMGnSyKjObt2gUiVJ0u0uaVK5oChWDNq2lT+LiJALkUWL5EKkeXNprylbVnppa9aE/PldE0/58uWZNm0aWbNmdc0DeLlGjWDVKkniypfX8x58QYsW8MYb8p5RoIDpaLyXtsq4id2XXuLixg1ZCuvcGT7/3HQ0ytVWr5Zq2TffSAKo7OPqVZg9G+bNkxMrr16VEwxjktny5SUR9janT8vFyYIFsHy5XLTkzy9fd6NG0lbzKA9rlfHz88OyLP73v//Rp08f/P39nfwV+Jbr16UNK106Wa11ZQuWMi88XFrw3nkHBgwwHU3C2T1f08TdTez+RIiLuXNlasC+fdKDqrxXWBgULgxPPCFVMz898cEW9u+HUaNg0iS4fBlKlYpN1p991rdama5dk+R9wQJJ5s+ckTagzp2lReN+G1yjouDZZzsQHHwZCAHWAdGAjIXMkCEDM2fO5OU7e3hUomzaJCskAwfKCp7ybm3bwooVMoHMU1+P7J6v6duxirPJk+WNUZN279ezp0wa+eknTdpNu3lTjhSvWFGS8+nTJTk9ckSmd3z4oUz68dQ3yYRKmVIuWsaOlVGWCxZIta9tW9mT8e67Mro2xpw5Mn4yOPgHYBqwGjgG1AWgYsWK7NmzR5N2JytVCnr0gI8/hr17TUejXK1FCzh2TF6blGtoxd1N7H4F9ygXLsgGt8GD5Q1Rea8VK6ByZfj+e9nMqMw4cUImN/34o1STy5eHTp1k1StZMtPR2dfRozJPetw4maBTqZL0zX/11f1O9JRqe7Nm85g0qQ5+epXqEuHh8j147DGZcqQtM94rOloukGvUkNNUPZHd8zV9lVJx8ssvMqO5cWPTkShXunwZ2rSR6m6nTqaj8U27dsnozSefhOHDJVHfvVsOPWvSRJP2R8mTB774QqrwP/8sSePQofdL2kHeAh2sXVsPy9K3Q1dJnhwmTJCJQUOGmI5GuZKfHzRrJquEN26YjsY76SuVipOff4YqVWRzqvJeH3wgqyvjx2uLjLsdOiSJedGi0lIwYgScOiUfn3vOdHSeJ1kySSAevZHewYkTsG6dO6LyXSVLSo/7p5/KhajyXs2bw8WLsHix6Ui8k741q0c6dkze1Fq0MB2JcqW1a6U148svpdqr3OP0aVndKFgw9nuwdy907KinTjpDSIhz76cS7pNPZApQ27bSUqG8U6FCUoD4+WfTkXgnTdzVI02ZIr2JdeqYjkS5SkSE9LOXKgXt25uOxjdcvAi9e8thNTNmwKBBUnVv1855p4Qq2ZsTF7qa6HrJkslUpC1bZFVPea/mzWXD+MWLpiPxPpq4q0eaNUumNzz2mOlIlKt8/72M+RwxQltkXO3aNenBzpsXvv0W3n9fJsT06AEpUpiOzvuULw85cwI8fA5Dv36wfr1bQvJp5ctDy5YyDen8edPRKFdp3FgmYi1YYDoS76Nv0eqhjh+Xkwu12u69Tp+WJexOnWTyg3KdFStkGfnjj6UidfgwfPaZHFCjXMPfH775xkIS97v7MxwOuX30kRxiVb48vPmmVgldbcgQWeXr29d0JMpVsmeXfQ1BQaYj8T6auKuHWrBAlu2rVzcdiXKVDz6QqQ+efNKd3V2+LD3rlSvL/oF9++C777Q9w10CAoKABvj7n7nrz3PmlIlZAwbA9u0yenPOHNkMvHChmVh9QZYscsE6Zgxs3Wo6GuUqtWvDkiUy2Uk5j85xdxO7zwV9kCpVpHXit99MR6JcYfVqGf3400/QurXpaLzT0qXSt37+vFQaO3bUdiR3sizr9nz2Y8dOcPRoTkJCpPe9fHmpyN/p5EnZ57F4sWzI/+YbSJ/eQOBeLjISAgOlMLRp073fB+X59uyRE7gXLYJXXzUdTdzZPV/Ttw/1QKGhktjVqmU6EuUKMRtSy5SRnlPlXKGhkrBXqyYbUPfskRNPNWl3r3nz5gHw1FNPkTt3TipUkLGbFSrcP1nMmRN+/VXmjgcFSWvT/PnujNg3BATAyJGwbZusdCjvU6iQnKug7TLOpW8h6oGWLJGqiCbu3mnMGNi/XzekusLixdJuMX26nOK5fLmO2DTBsizq1asHwNq1a+P87xwOaNVKxnIGBsoen6ZN5SRW5TxlyshK30cfSTuZ8i4Oh7TLBAU96AA0lRD6dq0eaP58mcWaK5fpSJSzhYVB//6SnBQpYjoa7xEeLm0WNWrIXPY9e+T3DofpyHzT7NmzAciXLx/Zs2eP97/PkUOSjsmTpZBRqJC0PinnGTBAXo+GDjUdiXKFWrVkAML27aYj8R6auKv7ioiQvjSttnunYcOkleN//zMdifc4fVraLyZNktWM336D3LlNR+W7LMvijTfeAGDNmjUJ/jwOh0wA2rtXChmvvio/P1pBdI6cOaFbN/jqKzhz5tH3V56lXDmZmqXtMs6jibu6r3XrJLGrXdt0JMrZzp2T01G7doUnnjAdjXfYvFlaKk6elFng7dppld20mTNnAlCwYEGyxfUUpofIlk1633v0gO7dpcVDp2U4R69ekDSpTrbyRkmSwGuvaeLuTJq4q/uaP18qIdpG4X0+/1w25fXubToS7zBpErz8svSwb9smCbwyy7IsGjduDMDKlSud9nn9/WHwYDlNeuZM+b6fOuW0T++zHn8c+vSRlapDh0xHo5ytVi05D+bYMdOReAdN3NU9LEuujmvV0qqhtzlyRI4c79ULMmQwHY1ni4yUU09btYJmzWDVKp3LbhfTp08HoHDhwmR1wTelaVNZWTl9GkqUkHGGKnG6dpWfn48+Mh2Jcrbq1aXyrqeoOocm7uoee/bIlbG2yXifjz+GjBmlp1Ql3MWLsgH122/lIKUff4RkyUxHpUCq7U2bNgVg2bJlLnuc4sXl8KA8eaTyPnGiyx7KJ6RIIXtuZsyQlSvlPdKkkfNCtF3GOTRxV/cICoLUqeXNSHmPfftg6lT45BNImdJ0NJ7r4EE5ynv7dpkw0rWrrkzZydSpUwF44YUXyJIli0sfK2tWWLlSzkFo3VpWYKKjXfqQXq1lS5nG1K+f6UiUs9WqJefCXLpkOhLPp4m7usdvv8nR7FpB9C5ffCHj7d5803QknuvPP+W0zaRJpdpaqZLpiNSdLMuiefPmACx109zGZMmkN/u772D4cPn5iox0y0N7nYAA6NtXRm/u3Gk6GuVMr70mPxerV5uOxPNp4q7ucu2aTMjQhMS7HD0q1fYPPpCkU8Xftm0y7jFXLlizBvLmNR2R+q/JkycDULx4cTJnzuy2x3U4ZOVlyhS5NW0qI3VV/DVqJO1HX3xhOhLlTE8+KTdN3BNPE3d1l40b4eZNSVCU9xg6VCY3tG1rOhLPtGEDvPIKFCgAK1bIPgFlL5Zl0apVKwAWL15sJIbGjeGXX2DePKhfX8dFJkRAgGyenzULgoNNR6OcqUIF2cSvEkcTd3WXVasgUyY5IVB5hzNnYNw4eO897W1PiA0boFo1KFZMetrTpTMdkbqfCRMmAFCyZEkyZcpkLI46dWSf0LJlUK8e3LhhLBSP1aqV7B8YPNh0JMqZKlaUdsN//zUdiWfTxF3dZdUquSrWzXbe4+uvpT2mc2fTkXiezZvlpMwSJeTwndSpTUek7seyLNq0aQPAr7/+ajgaGX+3YIFsXG3YUFYxVdwlTy4bfSdNghMnTEejnKViRfmYiIOMFZq4qzuEhcGWLbE/XMrzXbwII0dCly5aKY6vHTuk0v7885KE6WqFfY0fPx6A0qVLk9EmfUyVK8PcubLRsmlT3bAaXx06yIXyV1+ZjkQ5S65c8NRT2ueeWJq4q9s2bJA3F+1v9x4jR8r39N13TUfiWfbsgSpV4JlnYNEiSJXKdERqwYIFlC5dmpkzZxJ9x8xFy7Joe2vzxgKbnfDy6qvSqz1/vrR/6KjIuEudGt55Ryb2nD9vOhrlLNrnnniauKvbVq+WvsJnnjEdiXKGyEg5JbV5c3DxOGuv8s8/8PrrkDOnVEvTpDEdkQKYNWsWmzZtolGjRhQsWJDp06cTFRXF2LFjAShXrhwZbHgccK1aMtFp2jT49FPT0XiWLl0gKgpuLagoL1CxIuzdC+fOmY7Ec2nirm7T/nbvEhQEp07Jm5+Km5s3ZRrI9evSHqPtRfbi7+8PwF9//UWTJk145pln6NChAwDz5883GdpDvfEGfP45DBgAM2eajsZzZMokewRGjdLVCm8R04qr7TIJp4m7AuDKFZlTrf3t3mPECChTBooUMR2JZ7AsmcW9ebP0Jj/xhOmI1INYlgXAkSNHbv/ZokWLiLRxI/mHH0qve+vWsn9CxU2XLnIOxZIlpiNRzpA9O+TPr4l7YmjirgBYt06WJLW/3Tvs3y8TLbTaHnfffw9jx8IPP8gFj7K/mF53h8NBixYtyJ8/P5MnT7ZlAu9wwI8/wnPPQe3aEBJiOiLP8OKLMop1xAjTkShn0T73xNHEXQHyQ5Q9O+TLZzoS5QyjRskyc/36piPxDMuWyQbe99+XiqjyLDEV+GPHjtGyZUvy5cvHunXrDEd1rxQp5HCm6GioW1cPaIoLh0NG2S5eDHcssCgPVrEiHDigF68JpYm7AmTZqmJF7W/3BmFhMHEitGsHyZKZjsb+goOlj7ZqVRgyxHQ0KjHuTOCX2LS3Int2Sd7/+APat5cWLfVwTZrIfpNRo0xHopwhZmVf22USJsB0AMq8a9dg5064NVFNebgpUyR5v7VnTz3EpUsy9SNLFpn6cWvvo7qDZcHly1IdCwmB06dlPF9EhEwuio6WY+oDAqSinC1b7C1rVkiSxH2xOhwOLMuiY8eO9OvXz30PHE8lSshpxs2aQeHC8MEHpiOyt5Qp4c03ZbpM//7yPFOeK2tWWd3fuFEuylT8aOKu+OMP6W8PDDQdiXKGcePgtdd0c+WjWJa0xZw7JxtSdYKMjMLcvj32tnu3JOrXrt19v+TJ5TTegADw85MEPjJSpvFERd1930yZIE8e6VMuXlw+Pvec/HtnCggIIFmyZIwfP56GDRs695O7QNOmcl5Ar17y2quDAR6uY0cYNkxm4jdubDoalViBgTIQQ8WfJu6K7dvlTfS550xHohLr4EHYuhV++cV0JPb388+SBMyd67t7O86ehYULpX9482Y4eVL+PF06SbBr1pQLwJgKevbs8vGxx+7/+aKj4d9/Jdm/s0L/11+yAX7MGLlP0qRSaX75ZXmMcuXkIuBBoqLgzJlniI5uBJwC1gGx8wH9/PwoVKgQs2fP5qmnnnLWf4/LffYZ/P47tGkDf/4phw6p+8uXD0qXlp9bTdw9X2CgtIxFRj78Z1/dy2FZ2mHnDpcvXyZt2rSEhoaSxmYnurz5plTW9OrX8/XrB999B2fOSFVU3d+pU3Kh+vrrMHmy6Wjcx7LkZ33BArlt2SL7WkqVgvLlY6viefO6Zr/L1auywrdjh7zeLF0qyX26dHLKaK1aUL363asfc+ZAt26xFxXiBNANh2MelmXRtWtXhg4dSjIP3NRx5Ag8/zy0aKE93I8ycqScphoSIis5ynOtWSO97n/+KRfxdmLnfA00cXcbOz8RCheGsmVh9GjTkajEsCxJuCpXlrGG6v4sSxL2nTulVSF9etMRuV5oKEyaJInh/v2QKhVUqybV7ho1zCVB0dGSxC9YIAeG7dolPfH160OnTtK688Yb99vAKdX25MlbMHVqA+rWrev22J1p5EgZ3bpsmfz8qvv7919Z8Rk2DN5+23Q0KjEuX5YL9PHj7TfJy875Gmji7jZ2fSJcuybLs6NHyxQS5bk2bJCWgzVr4KWXTEdjXz/9JK0JCxZIAu/Ndu6UZH3KFDkVtk4d+dorVbLnxKETJ2DWLJmlHxwsS+gPHskeTbZs0Zw4EeDxm4qjoyVhP3xYVkRs9BZhO7Vry4ri5s2mI1GJ9cwz8rz//nvTkdzNrvlaDB0H6eN27ZI3Dd2Y6vkmT5Z+5HLlTEdiXydOyLz2Vq28O2lfsUJW0YoVg0WL5NTOv/+WpPjVV+2ZtAPkyiWz9A8cgKFDH5a0A/gREhKADce1x5ufn1QeL1yAHj1MR2NvzZtLi1dwsOlIVGIFBsoeOxU/mrj7uJiNqYUKmY5EJcaNGzBzpoyX89Of6vuyLFlVSpUKvvnGdDSusXWrVLAqV5YNnXPnwrFjsvchWzbT0cWdwyEbYePCWw5xefJJuVgZOxZ++810NPb1+uuyIjFliulIVGIVLy7FQxsedGxr+hbv47ZtgxdecP5oNuVeS5bAxYtSjVL3N26cJEQ//uh9ox/375e+8JIlJZGdN09mJNep47kTG+J6oeFJFySP0r69XHS1bSv7EtS9UqSABg1kuow2+nq2wEA5PXjfPtOReBZN3H3c9sTAD6sAACAASURBVO1y1as829y58OyzclP3CgmRFoy33pJWEW8RHg69e8sG8+3bYcIEmdJQu7bnn4JcvjzkzAkOx4OzM0+9KHkQh0MuMENDZb67ur+GDWUaz549piNRiVG0qDzndaJd/Gji7sOuXpVKnfa3e7aoKJnFXbu26Ujsq39/SfK+/NJ0JM6zebP0sH/1FfzvfzLDv1Ur7zn91d8fhg+PqapG3/V3DofcnnpKNtp26yavZ97giSfk+Tp2rPT6q3tVqCBDFYKCTEeiEiNVKtmgqn3u8aOJuw+L2ZiqFXfP9vvvcgS9Ju73FxwsSVDfvvD446ajSbzr16FnTyhTRg5C2rFDvja7bjhNjFq1IoH6yKFLsXLmlEPG9u6V0YBjx8os9NWrTUTpfJ06yUbdPn1MR2JPyZLJvP/5801HohKreHGtuMeXJu4+bNs2eQHUjameLSgIsmSBEiVMR2JPH30kGx27dDEdSeLt3y9V9uHD4fPPpY/dm088/vzzz4G5NGr0IatWwdSpsGoVHD0K9epJVf7dd6U9KEcOqFhRprJ4+ma3ZMlgwABpgdu0yXQ09lSrlmzGPn3adCQqMQID5VC2iAjTkXgOnePuJnacC9qmjcwM3rrVdCQqMQoUkLnteujSvbZulQ2bP/1kv0M+4mvhQmjaVFopZs70/v0MERERJL21az4sLIzHHnvsofePjpZpQT17SvvM9OmefbhWVJRcpKVLJysJnr5nwdkuXIDMmeXwqvbtTUejEmrtWnj5ZXudoGrHfO1OWnH3YQcPSn+Z8lwHDkgrSK1apiOxH8uSDX6FCslx8p7KsmDgQPkeV6okVXZvSdqvX7/OsGHD2Llz5z1/N2DAAABatGjxyKQdZAzq++/D0qXSM1uypLTSeCp/fxg0SBKbxYtNR2M/6dPLmRXaLuPZYnIQncsfd5q4+7CDB6VaqzxXUJCMR9Nj0u+1dKm0VQwa5LkbNq9ehcaNpYe9Xz+YM0c25XmLefPm0b17d4oVK8brr7/O9lu71CIiIm4n7qNGjYrX56xUSVZaUqSAUqU8ewPjq69KNfLDD6UCr+5Wu7YcNhYWZjoSlVCZMsmq0sGDpiPxHJq4+6jz5+WWP7/pSFRiLFwIVapIkqJiRUdLslO2rOeekHrxIrzyinyPZ82SyTHefLjWb7/9RmBgIDVq1KBZs2YAtG7dOk7V9v/Km1dWJqpUkVn2o0c7O1r3cDjgiy+kpXHqVNPR2E/NmnL43IoVpiNRCeVwSB6iFfe48+K3AfUwMT8kWnH3XNeuycY1rbbfa/p0mZo0eLBn9gb/849Ujv/6C9askQNnvF3krR2ly5YtY9asWQC0atUqwZ8vVSqZPNO1q0xp+fprp4TpdqVKyUbcfv0kSVWxnn4acueWlTXluQoU0MQ9PjRx91ExPyRPP202DpVwv/8uO/ErVjQdib3E9IS//rpU3D1NTNJ++rRsSvS1cxZiEnh/f38qVqxI1apV2ZTA0Sp+fjKBp1cv6X/31Dn+n38Of/8NU6aYjsR+KlbUxN3T5c+vrTLxoYm7jzp4UOYEJ2AVWtnEqlXSH6jjPO+2Zo1sSnzvPdORxN+FC9Lece6cJO12mbJgQtStpu5Vq1ZRunRpqlSpwubNm+P9eRwO2efQt69MnBk+3NmRut4zz0i/+4gRMQdSqRgVK8pEkn//NR2JSqgCBeS17/x505F4Bk3cfVRwsPa3e7pVq+QEQU9sBXGlkSOhYEHPW4m4fh1q1ICTJ6Vnt2BB0xHZQ0wFfvny5bRt2zZBn8PhkLnoPXrI3PeJE50ZoXt06SKHbW3ZYjoSe4n5OV+zxmwcKuFichGtuseNJu4+SifKeLawMJmc4WnJqaudPi2H1nTu7FkXNJYFbdtK5XDJEu8+VCkh/P39SZEiBX379k3w53A4YMgQeOstmfv9++9ODNANqleHPHmk6q5i5coFTz3lPafm+qJ8+eSj9rnHjSbuPig6Wja9acXdc23YIKdDVqhgOhJ7GTNGTp30tLntgwfL1JCffvK9nvZH8fPzo2DBgvzxxx80btw4UZ/L4ZAVmZIloW5d6Rv3FH5+ssl2xgzZB6FiVaigfe6eLGVKuQDTinvcaOLug/7+W6YTaMXdc61aBVmz6gFad4qIkMS9RQtIm9Z0NHEXFAR9+sjUkEaNTEdjH45bSyYdO3Zk69at5IspyyVS0qQwe7aMUK1dW2ble4o2bSSBHzfOdCT2UrGi7Gs5d850JCqhdLJM3AWYDkC5X8xVrVbcPdf69fDSS57VDuJq8+ZBSIi0yXiKPXugWTOZNf7pp6ajeTDLgqNH5UTSXbtkxvz16xAeLis/yZPLLUUKaecoXhyKFIGHnRYeFQX79mUGGgMhwDogGoCAgACSJUvGhAkTaOCCWZiZM8sFU5ky0Lo1zJzpGT9LGTLIgVyjR8MHH3juwWLOFrPyuH69jM5Unid/ft2nEFeauPug4GCpOuXObToSlRCRkbBzpyz1q1gjRkD58p4zieXGDWjSRBLdSZPsdbjSiRPSA759u9x27IBLl+TvcuSQxDdFCknW/f2l0hkeLmcLjB0rv3Y4pHe1eHG5FSsmiXKyZHICbLducPLkK8ArMY8KdMPhmMdzzz3H7NmzyZs3r8u+xuefh8mTJdEbMwY6dHDZQzlV584wYQIsWiQHECl5TmbLJs9VTdw9U4ECspIUFaUXpI+iibsPCg6W+e36w+GZDhyQBKl4cdOR2MeePVKtmT7ddCRx17+/rH5t2yaHBZkWFQWLF8OoUfLRsuCJJ+R51qOHJN7Fi0vS/jCRkbB/vyT7MYn//PnynM2USS6u5s6931jDHMAv1KgxgTlzmpM0aVIXfaWx6taFdu2ge3eoWlUuouyuRAm5jRihifudiheXnyXlmfLnl2LGiRPw5JOmo7E3Tdx90MmT8oasPNP27fKxWDGzcdjJzz9DxoyeswqxdascZd+/v1R+TTp3TipdP/wAx49LAjR2LNSqJYl2fAUEyKpH4cIQc/DpxImTmThxDhky9GX27MAHzCL3Ayz+/LONW4sKQ4fCb7/JtJnly+218vEgHTrIBceZM7LXRcmm7u++kwtCT2h7UneLyUlOntTE/VE84CVKOdvp05A9u+koVEJt3y7ViYf1D/uaoCCpPrqhSJto4eGS0BYtKid6mhIcDE2bQs6ccgFRsaLMCN+2TZLYhCTtDzJixHesWjWPX37p8YgDhBycOAHr1jnvsR8lTRq5cFm1SnrHPUHt2pKc/vqr6Ujso3hxOcDn+HHTkaiEiMlJTp82G4cn0MTdB4WESD+g8kzbtunIwDv99Ze0ZtSubTqSuPn0Uzh8WPqUAwyseUZFwVdfwQsvSB/7F1/AqVMyirJECVc/etxeeEJCXBzGf1SuDB07yobPI0fc+9gJkTEjlC0rLUhKxLQOxqxIKs+SNq3sm3H3z74n0sTdx0RHyw+GVtw9U2SkTPXQ/vZYQUGySbJyZdORPNrhw5I0f/SRmUOWDhyAcuUkQe3YEfbtg/ffh/Tp3RVB3N6VnVntj6shQ+T/4cMP3f/YCVGrFixbJnsHlBSjsmfXPndP5XDI91Ar7o+mibuPOX9ekj9N3D3T/v0yhk8r7rGCgiRpf+wx05E8Wr9+srmze3f3Pm5kpCSmRYrIa8C6dfD113LwiXutQ6bHRD/g76WPpkcPuUB1p9SppWVo1izZg2B3tWpJ29Xy5aYjsY/AQE3cPVn27FpxjwtN3H1MzNWstsp4pj/+kI9FipiNwy7+/VdmN3tCm8yOHTBtGvzvf+5NmE+ckLaK3r3h7bflOVS2rPse/27RQLc7fv3fv7PIm/djrl8/TIkS0sbz8J5452rZEgoVkqq7Ox83IfLnlwPYtF0mVtGisa+RyvNoxT1uNHH3MTFXs1px90wHD8r3TjemikWLpP3r9ddNR/JovXtLotW6tfseMzhYkvSzZ+UC58svpY/UrLlAA+DUf/78JNCAI0cG0L37Gj74QP7PunWT77E7+PvDwIGwcqW0odhdrVqwYIHsW1Dy8/XPP3JAmPI8WnGPG03cfUzM1WyWLGbjUAkTHKwn3t4pKAhefNH+I/FWrIClSyUpdNeG1J07pZ89dWrYsAFKl3bP48a4fPnyQ/52LvAkUAFocutjXmAu3bt35803WzBwoIyo/P57mcITEeHqiEXNmnKx06uX+y4YEqpWLUlUt2wxHYk9xLw2BgebjUMlTPbsWnGPC03cfUxIiGz88oSxeepeBw/KCXNK+nuXLPGMNplBg2RiS5067nm8P/+ESpVkHvLatXKypDsNGjSI9OnT06ZNG448cExLNLAGmE5AwAbSpk3FwoULGTp0KEmSJAGgfXuYMUNuLVu6p7LscMj3a9cume9uZ6VKyeu5tssITdw9W7ZsckLz9eumI7E3Tdx9jM5w91zR0TL6UCvuYv16uHrV/m0yBw5Ixf3dd91zMMxff8kpoHnzSrtHhgyuf8z/2r9/P9HR0UyePJl8+fI9JHkHh8NBYGAgu3fv5rXXXrvn7994Q07EnTlTJuG4o/e8XDk54GzECNc/VmL4+8Nrr8lJt0pOIM6eXQocyvPE5CbaLvNwmrj7mNOndWOqpzp1Ska/acVdbN0qvf6FCpmO5OFGjpSqaP36rn+sM2dkwk769LIakTat6x/zQfz8/IiMjCQ6Gs6ffw5oDLxMzNuO49ZVTK9evVi3bh25cuV64OeqVw/Gj4cff4Q+fVwfu8MBnTvLHoqjR13/eIlRpgzs2aNjIWMUKKAVd08Vk5tou8zDGTj+Q5kUEmL/REfdX8ybkVbcxbZtUhW18xH1YWEwcSJ07QrJkrn2sSxLWktu3pSDlVw1C/36ddi9WxLa8HAZNZk8uVxEFS4MuXPfee+6wHDgzqT8BNCN1KlXMHPmTKpVqxanx23VCs6dg549oUoVaQVypSZNZN79qFEyStOuAgNlNW7XLknifV3+/LBpk+koVEJoxT1uNHH3MadPe8ZBNepeBw/KxsY8eUxHYg/bt0sbhZ1NmSLJe4cOrn+syZNlwsj8+c7tab9xA2bPlnnh27fD3r0P7zXPkEH20ERF1QFm3uceOYBfuHz5DSZNmsSTTz5JgTguI3XvLlXwNm3k4iF16oR8RXGTMiW8+SaMGycjPM1P47m/QoXk/3v7dk3cQSrukybJxYydL+rVvWJOT9WK+8Pp09rH/POPHACjPM/hw7LZ0F1TSezs33/h+HH7nyA7Zoz04D/xhGsf59QpeOcdaNFCJo04w5EjMlklZ05o1kym1JQsKVNetmyRTWQ3b0oSf+0anDwJCxdKHH5+DuDrW5/pv28zMb//mhkzfqFgwYL8+OOPcYrJz09aZv79V6rhrtapE1y4AHPnuv6xEippUnjhBT14KMbTT8uq0JkzpiNR8eVwSH5y7pzpSOxNUwAfEhEhS9s6A9wznT4tSZSS6iLY+wTZ48fl0KWePV37OJYF7dpJhXj48MR/vvPnZSPtlCnyWvHmm7Ip9GFF8RQppMqfI4dslly/vgCnTj24Z12S9yeIiioDrCYiHrMe8+SRefSdO8u+gSpV4vxP4+3pp+ViZe5caNrUdY+TWMWLy2m4Kna1SQcxeKbUqWWVUj2YVtx9SMwPgyuXl5XrhIToxuIY27fLsupTT5mO5MEWLIAkSaB6ddc+zk8/yVSRsWPh8ccT97nmzpXWi4ULZaLK6dPw9dfx3xB9/Xq6ON0vWbInmT17Np06dYrX5+/QAV55Bd56Cx46Lt4JateWjb43brj2cRIjMBD279eEB7RP2tOlTg1XrpiOwt40cfchMT8Mmrh7Jq0gxdq2TaqM7hivmFBBQVChgmsnu5w9C++9J1Xx+0xSjLOrV6WiXK+eHGi1d6+0iaRMmbDPlyLFpTjd76efBlKvXr14f34/P+k9v3hRTld1pVq1JCFevdq1j5MYd25Q9XWZMsnzQ/ukPZMm7o+mibsPiflhSJXKbBwqYbTiHmv7dnv3t4eGSqLn6sOhxoyRFrihQxP+OS5elHaTBQvg559h3rzEXSBGRYFlOYDzyCFL92MBFqGhCX9C584tSfv48dLe4yqFCkl7jp0POXr2WZlaFNNC5sv8/eUkZa24eyZN3B9NE3cfohV3z3XlilT9tOIuG6z//tve/e1LlkhCXbOm6x4jMhJ++EE2jqZPn7DPERoqSfvBg3JIVLNmiVvFmDNHNlAvX94byIC8xfz3xCQLh8PBq6866NRJxi0mVLt2Umn+6aeEf45HcTik6h4U5J7DnxIiSRIoUkQ3qMbInl0r7p5KE/dHM564jxs3jjZt2pgOwydo4u65YqpHWnGXk0FBqox2tXKlVGpdOU0mKEimyXTpkrB/f+OGXFgcPizxliyZuHjmzIEGDWS6zMPkyuXgl1/g119lE2yXLnIyakJkygQNG0ryH/2g4r4TvPqq/F/b+WCfZ5+N/dnwddmyacXdU6VKpYn7oxhP3NevX8/EiRNNh+ETdHOq54qpHmnF3TP+L7ZtS3wi/CgjRsjc7iJFEvbv+/eXg2oWLZJxgnFx86Yk3J98ImMuixeXf1uqlIyivH9F2gFYpE9vsXy5HNxUr55UsocNk976du3g2LGEfR1dusjoyiVLEvbv46JECflo51YUrTLH0v8Lz6VTZR7NeOKu3Ed73D3X2bPyMUsWs3HYwenT0s+b2AkqrnLjhhwO5Moe/P37pUqe0Gr71q0weDB8/DGULv3o+589C337Qq5ckrCPHCmtOiVLwksvyQbca9ce9hkcXLjgwN9fepBv/6lDPlf69DIhJiFV8xdflBN0R46M/7+Nq/Tppc/d7on7mTOuXXnwFFmzxr5mKs+irTKP5vQ57pMmTYrX/Q8dOuTsENQDXLkivZCuPnpdOV/MyDtdLZEl8OzZ7TtRZvdu6W93ZQ/+qFFyUEn9+vH/t+Hh0Lq1VOp79Xr4fS1L5rm/845sOm3VCtq3lzagO///p02DpUsf/dj3a19Ik0YmxFSpAqNHy3z2+HA45AKmbVup5rvqZOHAQHv3kGfLJs+78+elhciXpUnj+jGhyjU0cX80pyfurVu3xhGPd1TLsuJ1f5VwV65o4ueprlyRlRI9wlsq7nbu9d++XarKzz/vms9vWTBrFrRsmbCL8OHD4dAhiTNJkgff7+ZNGTM5daq0s3z7LWTIcP/7xvX78aD7Va4shzz17AmNG8d/s23jxnJx8csvrjtRtXhx+OwzqWjb8ecwpnXs9GlN3GPaLSzLvhf46v5Sp5ZVy4iIh78++TKnJ+5JkyYle/bsdOjQIU73nzVrFjt37nR2GOo+NHH3XDGJu7L/PPtt2+C55+Q0UVc4fVpaIsqWjf+/jYyU3vgWLSTGh92vUSPpf582TRLjhylfXk71PXXqwZNXMmWS+z3I//4nox1/+gm6d3/013KnlCmhaFHXtrIEBkoyGBwMzzzjusdJqJiLopCQuO9Z8FapUsnz8OpVfd30NDHfrytXEj4ty9s5PXEvXLgwf//9N70etQZ7y4EDBzRxd5OwMH0R81RhYXrRFSMkxN4TZY4cif9Jo/ER066RkFachQvhxIlHt6P06SP3nTcvbgc7+ftLJb9BA6lw3pm8x/w+NFRaWZ5++v6fI3Nm+D979x3eZPm9AfxOC2Uv2WUKArIEKaIoyBaVLSAiIKAgUxFQARkKyPCrgiKguJhVUWSKMi0bxJa9EWTJXmWvNr8/7l8oKF1pkud9k/tzXbmipU1Om3Xe857nPM2bsw2oZ8/kV7UrVuQsem9xPab791szcc+Th9dalBn3XqnPPPu587FT4n5vHj/hFxYWhtOnT+Pw4cOevmlJIVXc7UuPXRyrt8q4evC9JSqKSW6+fMn/2XHjOAGmQoX4v2fNGm7oNGwYk/b33nsPQ4cOTfS2n3uOrSr/jitTpmhMm8avt2+f8OLJrl05njIp/fL/FhbGnz13Lvk/mxS5c/MgxKqJcUgIkCOHxiACce+V6pW2Hz12ifN44l61alUULFgQe5M4ULZKlSp46aWXPB2G3MONG1qYaldK3OnaNSZmVm6V8XYrT2Qkq8vJ7d09fhxYsgRIqIvR6eS/V6oU164SHByMQYMGJTl5P3AAiIgAmjWbCaA6evX6DK1asQVm1Spg0qT4f75yZa4NmDo1Ob8Zuc5AbNiQ/J9NitSpecBk5cRYYxBJyZ99uXKUGzfMxmFlHk/cW7Vqhb///hs1a9ZM0ve/8sormOjNbe/kNqsuqpLEKXEnq29EdeUKW0K8FZ/TyYq7O6Mm//yT1zVqxP89ERHAtm3AyJFxYxsHDhyIIUOGJDl5Dw4GVq4cihkzmmLIkFp4990BAIBq1ThKcsyY+PvgHQ6gevW4WJOjeHG2RXizzz1vXmsnxtp4iJS425crR9FY0/i5ncYNGTIEJ0+e9GQs4mVK3O3r0iUgQwbTUZjnmhVu1b5VV9LkrYr7kSPAyZPu9bdHRbGVIqHdXD//nKMeq1W7++vJSd6HDh2KQYMGYciQIRg4cOBd/9atG7B5M7B2bfw/HxbGHUCjoxP7je4WFMQWIG+ObAwNtXZinDFjYvP0A4Pr/UEb+diPEvfEuZ3GvffeeyhUqBDat28fUItLx40bh8KFCyNt2rR49NFHsX79etMhJZkSd/u6dUujsQD+HQAglceX1XuGt88I7N/Pa3cWv7oq9fG12DidbKVp0eLe35OU5D2hpB0AnnqKG2ctXRp/nClpeXnwwbi/kTdYveKeKlXcaySQud4f9LewH1eOEhNjNg4rczuNy5IlC65fv44pU6agYsWKqFatGmbOnIlYPz5Mmj59Onr16oV3330XGzZsQLly5VC3bl3bnHmIjb1710KxDz125PogtupBjKva6a2zI1evun/7mzdzZGJ89u8Hzp8HHnkk/u9JKHlPLGkH+KEcFpZwO0uJEkDatIw3udKnj/sbeUOGDN69/ZRKnVrJKqCqrZ3psUuc24n70aNH8eWXX6JcuXJwOp1YuXIlmjdvjiJFiuCjjz7C+fPnPRmnJYwaNQodO3ZE+/btUapUKXzxxRdInz49vv32W9OhJYkq7valx46sXnH3dnzXrvE6bdrk/+yFC/FvoAQA27fzOrGNo+6VvCclaXcpV4599PEJDgayZnVv58u0aeP+Rt5g9Yq21ePzFSV/9qXHLnFupwLp0qVDhw4dsGHDBqxevRotW7ZE6tSpb89wz58/P7p27YqdO3d6Ml5jbty4gaioKNSuXfv214KCglC7dm2svUfD5vXr13HhwoW7LqbFxmoXObvSY0eupMSqZx98lbi7Mx3q2rWEE37X2YLMmRO/rTuT9zRp0iQ5aXfd/uXLCX9PunTuVbbTpvVuRTxVKu7oaFVWj89X1G5hX3rsEueRGl7lypURHh6Ow4cPY+jQocifPz+uXLmCCRMmoEyZMnj66afx22+/eeKujDl9+jRiYmKQO3fuu76eO3duHD9+/D/fP2LECGTJkuX2pUCBAr4KNV5K/OxLjx253tTjm0pimrerRa4DAnc+1BKrxia3L3jgwIEICQnBjRs3EBISkqSkHUjaVububnfu7bUgVm9Zs3p8vuJ6f9BZSvvRY5c4j/5pcubMif79++Pvv//GzJkzb4+EXLRoEerXr48SJUpg3LhxuJxYucUP9OvXD9HR0bcvVtiQKihIR7F2pceOrL7ozNvxuSrm7lSV06VLeOKIaxLO338n7faGDh16O2m/ceNGkkZFum4/sc2jrlxxrx3o6lX3fi6pbt2ybpsWYP34fMV14Kzkz3702CXOK3+aoKAgNG7cGIsXL8bOnTvx+uuvI3PmzNi7dy9ef/11S1SfkytHjhwIDg7GiRMn7vr6iRMnkMe11/Qd0qRJg8yZM991MS0oSH1jdqXHjlxJiVXbAVzVXm9tHpIuHa/d6eO+/35g9+74/718eT7PkjIH/c6e9uvXrydrzntic+hPnwbOngWKFEk8jn+7di3ub+QNN25Yd2E0wNeFEnclf3amxy5xbr/Er1y5gvPnz+PcuXO3Lwn9/3333YcLFy7A6XQiOrkDei0gJCQEYWFhWLp0KRo3bgwAiI2NxdKlS9G9e3fD0SWNkj/7Cg5WxR2wfsU9Rw5enzrlXuKZmPvu4/Xx40zEkyMsDFi5Mv5/T58eKFuWoxo7dIj/++61ENV1PWjQoLv+/9+OHOHBQ79+8d++68DBnVn1J07E/Y284dSpuMfYilRxJyV/9uV67NTyFT+3X+IZM2aEI4HGW6dVm1BToFevXmjbti0qVqyISpUq4ZNPPsHly5fRvn1706EliRJ3+/L2oju7CAnh9fXrZuOIj6vdxFub9JQqxYrvhg1A5crJ+9mwMODLL7kwNL5xki+9BPTtywT4X8t5ACQ8PSYpyfuECbzvJk3ijzMqCsiSBShaNGm/179/NqHbTqljx5J/wORLVj8j4CuuljBvnn0R79BBV+JSfGweFBSEEiVKIHPmzMiSJUuSr+2oRYsWOHXqFAYNGoTjx4+jfPnyWLBgwX8WrFqVEnf7ypSJM7YD3Z0VbSvKnp2Jk7c26UmThuMak9LO8m8VK/L1v2EDULXqvb+nfXtgwABgzBhg2LC7/y0pIx8TSt6jo3ng8NJLcVvS38uffya8UVR8zp5l/7w7lfqkOnoUeOIJ791+Sp08CRQvbjoK8y5e5HVCzzOxJiXuiXM7cQ8ODkZMTAxiY2ORPn16dO/eHS1atECwn5/f6N69u21aY/4tONi6LQaSsEyZ2GYQ6O67j1V3q247HxQE5Mnj3d01w8KAe0ygTVSZMtz5Mzw8/sQ9Wzagd29g5EigeXP2vQPJm9MeX/LeuzfPGr39dvw/e+YMsGAB8N57yfrVAMQdzCTUP58STicfV2/tiusJx44B1aubjsK8S5d4rcTdflw5ihL3+Ln9pzlw4ADeeustZM2aFZGRkWjTpg0KFy6MGo6LUwAAIABJREFUESNG4OzZs56MUTwkQ4bE5yeLNWXKFFdFCmQOh/W3nQ8N9e6BRcWKwI4dCU+IuZdUqYBXXwWmTWP1Oz4DB7Ilp00bboKUnKQ97jbu3qRpxgzgm2+AUaOAQoXi/7lvv2XF7eWXk/e7AUzcM2cGHngg+T+bFNHRXPzqaoeyGjscWPiKKu725cpRMmY0G4eVuZ2458uXDx988AEOHz6MsWPHolixYvjnn38wYMAAFChQAJ06dcKOHTs8GaukkJI/+9JjFyc01NqJe758wMGD3rv9sDAuVN68Ofk/++qrXB8wZUr83xMSAnz3Hc/wPPMMcPlyTLKSdhdX8r5jRwxatQJatABeeSX+74+JAT7/nN+XM2ey7goAEBkJVKjgvUqd6zFNbJSlKefOscfdqgcWvqTE3b702CUuxW9x6dOnR9euXbFr1y7MmzcPNWvWxNWrV/HVV1+hbNmyqFu3ru03X/IXGTPGnUIUe8mYUYm7i7cr2ilVrhywcaP3NokqU4bJdWRk8n82NJSLNz/7LOGRlaVLs2Vlxw5g9uz3UKdO8pJ2gLcfEzMQP/30HurX58FCQn3rs2ezR71r12TfFQBW3L3Z375xI+MvU8Z795ESroNZVdzj3itVtbUfPXaJ82htol69eli8eDG2bt2Kl19+GWnSpMHixYtRv359PPjgg/j8889xJbnnd8VjVLW1r0yZdNDlYvVWmbAwLpT0VtU9JIQLJH/+2b2fHzCACXJiI9cffZS99Jkz8/5eew3Yty/x2791C5g1C3jkES5wfecdYPr0uIlA93LuHG//mWd4v8kVFQUcOABUq5b8n03OfRQvzr+HFbkOZlVx53tlmjSasGNHFy/yrFn69KYjsS6vnFQsXbo0vv76axw6dAiDBw9G7ty5sWfPHnTv3h0FChRAnz59vHG3kohMmdg/psky9pMpEzdXseoYRF+yequMa3GkOxXxpOrUCVi+HNi2Lfk/+9BDwKBBwIgRnOCSkAcfBNas4feGh7N//KmngOHDgYULgT17gP37gU2bWFHv0QMoXBh47jlWzNavB4YMSXy2eI8e7Nn/6qvkT5MBgHHjgIIFmfh7S2Skdyv6KeV6TdxjP8CAc/GiWi3s6tIlvne48z4QKDyWuF+5cgUnTpzAX3/9hY0bN2LlypVYv349ihcvjv79+6N8+fJwOp04d+4cPvroI0/drSSD641MlVv7yZ6d16dPm43DCkJDWdG26kFMnjzsg3ZnZGNSNWnC+xk/3r2f79uXLT3t2iW+C2uqVJwE888/wMSJ7EX/4APg6aeBEiU4b/3hh4G2bYFffwXq1ePIydWr+fXEzJkDTJ3KEZTu9I+fOQN8/z3QubP3Nm25dYsHJ96aWOMJx45x6lLatKYjMe/0ae9uxCXeo4OuxLk9DvLBBx/EpUuXcPHiRVy+fDlJGy45HA6/3JjJLu5M3K16ulfuzdW3euyYdRfH+cqdf4vChY2GEq+KFb1bcQ8J4ULTUaM4ujG5r+fUqYHJk9nO0rIl8NNPiVfF06Vjot+uHc/a7dvHx+DmTZ7WLlkSyJo1eXFERnJ6TaNGvHbHpEmMJ6GFrym1YwcPcKxecVd/Ox09qpYhu1Linji3E/c9e/Yk6fvSpk2LbNmyIWvWrHddi++5Xgzqc7cf14eQlVtEfKVAAV7//bd1E/fHHgPef5/JnrcqoK++yh7yqVOBbt2S//NlygAzZgCNGzNpnjIl6T3BQUFAsWK8uGvjRlbtS5fmiEp3To3HxnISTfPmQK5c7seSmOXL+bdJyhkEUw4ciHttBDoVOOxLiXvi3E7cX3nllXsm5P++DkloRZL4lGuVthJ3+8mZk8mSlaep+EqxYqzwbtgA1KhhOpp7q18f6NcPWLaMyak35MvHpHvcOE5icSfxrVePbSYvvsgzcd9/75tpDsuWscpeogTba9y9z4ULWfmfOtWj4f3H3Ll8rll50kVUFNuVhAUOK58dkfhdvGjt15kVuJ24f/XVV56MQ3xAFXf7Cg72/o6cdpEqFXf09GYPeUqVLg0UKcL+bW8l7gAr7TVrcsJMs2bu3UazZnxvaNqUC1e/+cZ7B0RXr3KDp1GjeB+zZ7tfXYuJ4VmN8uV5hsNboqN5oPHpp967j5Q6dkzJ6p2OHVOrjF1duqSKe2K0qWwA0eJUe7P6/HJf8nYPeUo5HEDDhqzUenNZT/XqrLp37QqcOuX+7dStyw2dChbkgUDXrp4/wF+9mkn22LFc3LpwYco+oMeM4cSbTz/17gSK337j4tQGDbx3HynlOoi18uJZX7l4kZ9xStztSa0yiVPiHkBUcbc3q88v96WwMGDvXlZDraphQz5e3jwz4HAAX3zBXu/u3VN2W0WLAr//ztabKVN4xqBvX64lcFdMDA9ennkGqFKF05E2bQLeeivxxbAJ2bOH8+F79ACefNL920mKuXPZ227l/vHISCBHDh54BTptRGVvStwTp8Q9gKRLxz5pJe72pIp7HFdLwIYNZuNISJUqQLZswMyZ3r2f3LmZbP/4Iy8pERTEavu2bUCrVjwoKFqUvfBTpnC6SkxMwrfhai0ZMoTJf6NGHNk4aRKwciVnw6dETAwn2+TPz3ny3nTtGnvwGzXy7v2kVFQUD2Y1+1obUdmdEvfEpaDmIXbjcHBc29mzpiMRdxQsmPLEzF+UKAFkyMCExaoLVFOnBlq04OzzwYO9u4vj889zQkzXrtw9NHfulN1e4cLAJ59was0PPzCBdy18zJCBLS8lSrAYkCoVE9xz5zgpZu/euO9r0QLo0sWzvdejRwPr1vEgwNu7K/70Ew9EWrb07v2kVGSkd8dh2smBA7zWVBl7Oncu+WNlA40q7gFGVVv7Kl6cb2rahImLdR9+2Np97gAXjx4/Dsya5d37cTi4GZOrYu6pvvoMGZgQ/vknn3tLlwLvvsu2ke3bgVWrgMWL+TicPMmWmMmTWbGPjuZCV08m7bt2AQMGAD17Ak884bnbjc+4cdwptnhx79+Xu44e5XNM/e20ezeLHN4+qBPPu3GDn286W5IwVdwDTN68StztypU87NnDftZAFxYGzJ9vOoqElSnDHuzx41kV96acOTnTvFkztqm8+65nbz9rVi5crVnTs7ebVMePc4Fo4cKcJuNtUVHAH39wMpCVuQ5eNVGG9uyx9oGWxO/4cV5rfULCVHEPMKGhWuBoV67NbnbvNhuHVYSFAX/9xUqwlXXtyg18tm3z/n01bQqMGAG89x5bXfzF2bOsfF+5wikv6dJ5/z7HjWPltl49799XSvz5Jw/a8uc3HYk17N6txN2uXLmJKu4JU+IeYDSZxL7SpWMikcRNi/1etWq8XrTIbByJadKEM/jHj/fN/fXty0vPnuxNt7vz54Fnn+X71uLFwP33e/8+z57lZlSdO7Mty8oWLuRrQQtTuXD5r7+4/kLsx9UNoIp7wpS4BxhXj7s3Z0uL95QooYq7S8GCXCQ5d67pSBIWEsKq+7ffAocP++Y+hw8HXn+dC0M/+MA39+kNx48zKd27lwdopUr55n4//JDrBTp08M39uevoUVbcrT71xlcOHQKuX1fF3a6OHuUi/uzZTUdibUrcA0zevHxjs3p7gdxb8eKquN+pYUOO67t503QkCXvjDSBzZraw+ILDwVaZQYNYfX/7bc56t5P9+zlS8/RpTpCpUME39/vPP9zUqVcvtqBY2S+/8IzAs8+ajsQaXO+Nqrjb09GjzFF09ihhStwDjKt3TAtU7alECZ4KTmyWdqBo2JCtFCtXmo4kYZkyAQMHcpb59u2+uU+Hg2MoP/mEFeTq1eNGNVqZ0wlMmMCzKQ4Hd1z1VaUd4N8sfXpuEmV1c+bw4Oa++0xHYg27dwNp0mgjKrs6dkz97UmhxD3AuHrH1OduT6VK8YyJHRIwX6hQgfOard4uAwCdOgGFCnHHT1/q0QOIiGAluVw5zkG36oHfgQNAnTrsLW/RghNTChf23f3v2sURlv378wyJlV26xPGcapOJs3UrixtWX5cg9+aquEvClLgHGCXu9uZqF4iKMhuHVTgcrLrPnWv9dRshIRxjOHcuq8i+VL06sGUL0LEj0Ls3R1Raaa1EbCxHWZYpw4PShQuBr74CsmTxbRz9+3NGfdeuvr1fdyxezIP4hg1NR2Idrh1kxZ5UcU8aJe4BJm1absOuVhl7ypaN28grcY/TsCHw99++GbeYUi+8wIOvLl242YgvZcjA3u3ly7lZUvnywMiRwIULvo3j3zZtAmrVYrLcpg2rpk895fs45s8HZs7kwVWaNL6//+SaM4dn4IoWNR2JNVy7xvcAzbO3L1Xck0aJewDSLHd7q1jR+juG+lKNGkDGjPZolwkK4nSZnTuBoUPNxFC1KrB5MxPlAQPYatS5M7/mK9euAVOmAJUrcwfcgweBJUtYdTfRonLuHM9GPPMM0KqV7+8/uWJiuDBVbTJxtm7lInVV3O1Ju6YmnRL3AOQaCSn2FBYGbNxo3T5lX0uTBnj6aevvcOlSrhynvYwYYe4ALH164OOP2VPeqxcPesqXB554Apg2jYm1N+zbx0Wf+fMDbdty0e7MmZwGUquWd+4zKXr04OZOX35pj4kWa9cCZ86oTeZOUVFAqlTAQw+ZjkTc4do1VYl74pS4B6DQUODIEdNRiLsqVuTCNI2FjNO0KedZ79xpOpKk6duXCXy7duxTNiV/fk5ROXgQmDGDm3y1acM+79atuZB1xQrg4sXk37bTyZGOP/3E37d6deCBB7j4s21bPn8XLeIGValSefxXS7K5c4GpU9lGZJfdRydP5pmSSpVMR2IdkZFA6dK+2VVXPO+ff3itVpnEGXy7FFOKFOHsa7GnOxeolixpNharaNKEM7c//xwYM8Z0NIlLnZrJV4UKwLvvstfcdDxNm/Kyezfw9dccsfnzz6y+OxxAsWI821OhApArFxOktGn5s9euAVevsmq9ezefmxs2cFQnwCQzLAyYOJHTYqySXJ0+zWk/9esDL71kOpqkOX8eCA8H+vVj65VQVJT62+3sr794XaSI2TjsQIl7ACpeHDh1in2d2bKZjkaSK2tWLkiLjGRVVNgu07EjMHYsdw3NmNF0RIkrU4YLIfv0AR55hEmzFZQowbnvAHDrFs9iREXFXWbPZpIenwIFmKT37s0kPywMyJ3bN7Enx82bQPPm/B0nTLBHiwzAvQBu3eLzXci1MPXVV01HIu7avZvdAHZ47zZNiXsAcu0qt2cP8OijZmMR9zz2mO9HClpdp06sXE+bxsWWdvDWW6xMv/QSD8bKlzcd0d1SpQLKluWlXTt+zenkQrKrV5kw3bwZV31Pm9Zs20tSOZ3Aa6/xNbR0qX36amNjgfHjeZCXJ4/paKxj/XoezOjzzL727NGOt0mlE20BqFgxXqtH2r6qV2fCFx1tOhLrKFiQi/XGj7f+THcXh4NTZkqWZOwnTpiOKHEOB89wZM3K5LFAASBHDlbK7JC0A3yOTJjA1qqqVU1Hk3RLl3LOfbdupiOxlogIPh/LlTMdibhrzx52A0jilLgHoIwZ2XNqpQ1YJHlq1GD1bcUK05FYS9euHAu3apXpSJIufXq2n9y8CTz3nNnFqoFg6VJOkenRA3jlFdPRJM+4cTz78cQTpiOxlogIoFo17ZhqV7GxqrgnhxL3AFWihCrudlakCCudy5aZjsRaatVi1WbcONORJE/+/MCsWewhb9tWoz69ZfNm9rXXrAl89JHpaJLn0CFg3jxW2+3Sj+8L164B69axmCH29M8/bL1TxT1plLgHqOLFVXG3M4eD7TIREaYjsZagIFbdf/45bi6wXTz2GKeFzJgBvPwyq1DiOdu3A7VrA/ffD/z4o33aelwmTODZUjtsEOVLa9fyLFX16qYjEXe5chFV3JNGiXuAKlGCvZJKDuyrRg1uF3/2rOlIrKVtWyAkhJvp2E3TppwpPm0a0KGDKu+esn07z8aEhgKLF7Mf2k6uXwe++ooLhDV1424REUD27GwhEnvas4cH0oULm47EHpS4B6jixXlqShsx2VeNGlyEqT73u2XNCrRvD3zySdwccTtp2RKYMoVz3tu0Ye+7uG/jRvY/58kDLFkC3Hef6YiS7/PPuVOqFqX+l6u/XTPt7Wv3bk7VsttZMFP0VA9Qd46EFHsqXJiX3383HYn19O/PKuX//mc6Eve0agVMn85dR5s2dW/nUuFro2ZNrgn5/Xdu0mU30dGc9//KK+oB/rfLl4E//lB/u91pYWryKHEPUIUKccdD9bnb21NPcRdcu4w/9JW8eYGePVl1P3rUdDTuadYMmDuXC5ArVwb27TMdkX04ncBnn/H18cgj9q20A1xEe/kyd9iVuy1ZwjNSdeqYjkRSYvduHZQmhxL3AJUqFfDAA6q4213Dhkzodu40HYn1vPUWRy0OHmw6Evc98wwrijduxCWgkrDr17k+4PXXOfLx11+BzJlNR+We48eBUaP4e+TLZzoa65k7l5VaVWvt6/p14MABPYbJocQ9gGmyjP3VqsXkdO5c05FYT5YsbJn55ht7P89LlmTyXqkS8PTTwKef6gxLfI4fZ9tEeDjXCHz8sb37ZocM4WZXffqYjsR6YmI4HrNRI9ORSEr89Rffz1RxTzol7gGsdGluViP2lTYtULeuEvf4dOnCSmX//qYjSZls2YD584FevYA33gCaNAGOHTMdlbX8/DN3zjxwgAu2X3rJdEQps3cvJ8n068fHX+62fj1w6hTPOop9uXKQUqXMxmEnStwDWFgY+3+VANhbo0bcgOTECdORWE/atMDQoUzq1q0zHU3KBAdzse2sWfxdSpfm6MhAr76fPAk8/zzXBDz+OLBhA89O2N2AAZyE07276Uisac4cLjZ+7DHTkUhKREZyzV2OHKYjsQ8l7gEsLIzXUVFm45CUefZZbsj0yy+mI7GmVq2AMmWAvn39I8lt3JhzyevVY1W5QQPuPBhonE5upFS6NCfGfP89MHMmk127i4zk7zZ4MJAunelorGnuXKB+fR7Qin1FRQEVK5qOwl6UuAewggV5lBsZaToSSYmcOVlpVLvMvQUHAyNHAsuXs1rtD7JnZ7V9zhx+8JUuzWr8lSumI/ONLVuYtLVowR0zd+wAXniBB7B2FxvLiUilStm/3cdb9u7lgny1ydhbbCzfv1xFREkaJe4BzOHgC0YVd/tr1AhYtAi4dMl0JNb07LP8kO/SBTh92nQ0ntOwIZPWVq3Yx1+sGHeM9ddNm/bv56ZU5ctzwfGMGZx1nyuX6cg857PPgFWrgHHj7L2w1ptmz2YbnMZA2ttff3GPClXck0eJe4CrWFEVd3/QvDlw7Zr/VJQ9zeEAJkwAbt0CXnvNdDSelS0bk7xduzhRpXNnVmunT2dFyx8cP85e7wcfBJYuBcaPZ8W1aVPTkXnW3r1cjPraazyTIPcWHs4WsQwZTEciKeHKPSpUMBuH3ShxD3BhYfxQtOsmNUKFCgFPPglMm2Y6EuvKkwcYOxb44QdWav1N0aJ8/Ddu5EzkF15gBf5//7PnWQank5XnVq34/A4P50Ljv/7iwUnq1KYj9KyYGKB9eyA0FBgxwnQ01rV1K7B5M9C6telIJKWiooD772frnySdEvcA5zpFpaq7/bVpww16NCUofi+8ADz3HFtmTp40HY13lCvHhcrr1gFPPAEMGgTkz8/nx5o11l+ge/Ei8Pnn/D2qVuXYv+HD2SbTpw/3LfBHn37Kx2fiRFWSExIezkTv6adNRyIpFRmp/nZ3KHEPcPnzc3Gj+tztr1kz9sR+/73pSKzL4WBSCABdu1o/iU2JRx8FpkwBjhwB3n+fSeETT7CNpk8fYPVqVnmt4PRpxtq8OZA3L9tiHniA6zZ27wZ69/bvWea7dnGNQo8ePFiRe4uNZeLeogUQEmI6GkmJ2FiOblV/e/I5nE5//uiyjgsXLiBLliyIjo5GZovtv+0aJzh/vulIJKWaNWNlcsMG05FY208/cfb3Dz8wCQgEsbHA4sXsff/lF25ekyMHx0o2aABUqQLkzu2bWG7d4kjLhQu5++WaNYyvUiUuuG3blkWFQBATwwOqs2eBTZv894yCJ0READVr8vlSubLpaCQldu3irtCLFwO1a5uO5m5WztcAQGvWBWFh3KHP6fSPcWqBrE2buDnfpUubjsa6mjfnpVs3LgL0VcJqUlAQd9mtW5fJ4vr1TJrnzQMmT+b3hIby/cB1KV+eFfCUzMq+fJmLLqOi4i5btnAxdbp0nAzy5Zc8gPCHGezJ9fHHfCxWrVLSnphp04AiRbTpkj9wneVXq0zyqeLuI1Y+gpszh8ne4cOBU+XyVzduMNF69VUtcEvMqVM8uKlYkclrIG/kcugQk8cNG+KS6zNn+G9BQTywyZuXiX3evGyvS52arVlBQayg37rFOfLHjsXtyHzsGHDhQtztPPggJ0i4DgwqVgzsDYY2bOAeDN27Ax99ZDoaa7t6lQd2b7zBjanE3nr25N4j+/aZjuS/rJyvAUrcfcbKT4QjR4ACBTgbt1Ej09FISnXrxrGQBw/63+QNT1uwgJXeN98EPvjAdDTW4XQymd+6lUn4nYn40aPsSXcl6zExcUl8unRM7O+8hIYChQuzeq9Fl3GOHwceeYTJ6IoVgX0AkxRTprCFas8eTksSe3vySb4/TJ9uOpL/snK+BqhVRgDky8cPj7Vrlbj7gy5dOOd69my2g0j8nn4a+PBDLn4sU4atRsKWuUKFeBHPu3YNaNKEBz2zZytpT4rx49lWpaTd/m7c4Fk9nTlxj6bKCBwOoFo1YNky05GIJ5Qpw2rGuHGmI7GHnj2Bdu2Ajh2BP/4wHY34O6eTrWwbNzJpz5fPdETWFxXF12a3bqYjEU/480+21VWrZjoSe1LiLgC442JkJGcoi/117QosXw5s22Y6EutzOIAvvmDPdePGbB0T8ZaPPgKmTgW+/ZZTdCRx48YBBQsC9eubjkQ8ISICyJwZePhh05HYkxJ3AcDEPSYGWLnSdCTiCU2asP1p/HjTkdhDmjTAzJns1W7cmNUgEU+bP58z9Pv1A1580XQ09nDmDPem6NQpsBeQ+5OICJ4VTqVmbbcocRcA7BsMDVW7jL8ICeHp+KlT46Z6SMJy5+aUg507gZdf9u/NmcT3duwAWrbkzPz33zcdjX1MmsQZ/x06mI5EPOH6dc7hr1HDdCT2pcRdALBdoEYNHgmLf3j1VY5QmzrVdCT2Ub48p1dMnw4MG2Y6GvEXZ85wY6lChTiLPEifvEkSG8udjps3B3LlMh2NeMIff3BxdvXqpiOxL719yG01anCucHS06UjEE/LlY9vH2LH8AJSkadqU0w4GDmTSIJIS0dGcXhQdzTM6mTKZjsg+fvuNc767djUdiXhKRASQNStQrpzpSOxLibvcVr06E7wVK0xHIp7Suze3lp4zx3Qk9jJwINCjBxOGb74xHY3Y1cWLTNr37ePW7vffbzoi+3A6geHDgcqVeRH/EBHBaTJar+A+Je5yW5Ei3IhJfe7+o3JlHpANH66e7eRwOIDRozkTv2NHtRtJ8l2+zM29duwAFi1iG5Yk3cqV7IXu14+vR7G/a9eAdevU355SWtMrt6nP3T/16wfUrQssXQrUrm06GvtwONhmdPMm57wHB2sSiCTNpUvsad+4kZX2ihVNR2Q/I0YAZcvy4Ef8w9q1XJyq/vaUUcVd7lKjBrBpE3D2rOlIxFPq1OGM8uHDTUdiP0FBwIQJ3Gq9dWu1zUjioqN5oBwZyR7txx4zHZH9bNgALFjAooMW8vqPiAgge3YekIn79JKQu1SvzpYK9bn7D4cDeOcdvmmuW2c6GvsJCgK+/hro3Jkj6T77zHREYlVnzgC1arE9ZskSoEoV0xHZ04gRbN1s3tx0JOJJrv52HYyljP58cpfChXlRn7t/adwYePBBfiBK8gUFcffGXr2A118HRo7UmgG52/HjPGN58CATFO2K6p7du4Gff+ZGVdqgx39cucJRkOpvTzm9LOQ/atXiYirxH0FBPO3cti2wZQvw0EOmI7Ifh4Pb1WfIwL/l3r3cmTZNGtORiWmRkdytOCYGWL4cKFXKdET2NXIkd31u29Z0JOJJK1ZwvZAS95RTxV3+o3597h7511+mIxFPatkSKFoUGDDAdCT25XAAQ4YAkycD4eH8EDp2zHRUYlJ4OFC1KneejoxU0p4SO3dyA7Q+fXRA7G/mzuU4VL0+Uk6Ju/xHnTpA2rR8oYn/SJ2aW63PmwesWmU6Gnt76SVWVg8cAB55BPjzT9MRia/FxABvv81Fy88/z+dDaKjpqOztnXeAggW5nkT8h9PJfKJhQ4329AQl7vIfGTJwbKASd//z/PNAhQqsaKlHO2UefZQV1vz5WXGdNs10ROIr588DDRoAH38MjBoFTJrEYoe4b+1aYPZsYOhQVdv9zYYNwD//AI0amY7EPyhxl3tq2JBV2TNnTEcinhQUxB7SNWt0YOYJoaFcyP3CC0CbNsBbb7ESK/5r924etK1bx5GFPXuqiphSTieLCeXKaa8EfzR3LpA1q6YseYoSd7mn+vWZgPz6q+lIxNPq1OEC5HfeAW7dMh2N/aVNC0ycyJ1WR43ia+fcOdNRiTf8+iunxQQHA+vX87UkKffrr9wpdcQIjQr0R3PmAM8+y3ZNSTm9ROSe8uZlVUlVWf80ciRnTU+ZYjoS/+BwAG+8ASxcyJFnDz3EzXfEP1y6BHTrxl08q1dntf2BB0xH5R9iYoC+ffl3ffpp09GIpx08CGzerDYZT1LiLvFq2JCngq9fNx2JeFrFiux3f/dd4OpV09H4j9q1+SFVujQrTO3bq/pud0uXcqfHSZO4+dasWUDmzKaj8h/TpgHbtrGYoJYj/zNvHivtdeuajsR/KHGXeDVsyEpTRITpSMQbhg0DTp7kB6Z4ToECrLZ/8w0wcyZQpgzwyy+mo5LkunDWu/TsAAAgAElEQVSB001q1+amdFu3At27q5XDky5cYLW9eXOe4RX/M2cOz6ZkyWI6Ev+htyCJV+nS3HZa7TL+6YEHuJjygw80s9/THA7g5ZeB7duB8uU5geSll4CzZ01HJkmxaBGr7NOmcZOtpUv5Xiie9d57TN4//th0JOIN0dFcvK82Gc9S4i7xcjhYdZ87V6MD/dU77wC5cwOvv67H2Bvy52e1fdIkvo5Kl2YFSqwpOhro2JGn9R94gC0cXbqoyu4NW7cCY8YAgwbxLJX4nwULOAChQQPTkfgXvR1Jgho25PzVDRtMRyLekD498OmnbO3QmRXvcDi4ffuOHVxb0Lgx0KwZxwqKNcTEcDfc0qWB6dOBCROAJUvYIiOe53RysW+xYhynKf5pzhyecSxY0HQk/kWJuySoShUgWzYldf6sUSMupOzRA7hyxXQ0/is0lK+j8HCOEixdGnj1VeDIEdORBS6nk5v+PPQQ0K4d+6y3bePjooWS3hMezvGPY8cCISGmoxFvuHmTYz7VJuN5StwlQalTcy71jz+qlcJfORw8ZX38ODB8uOlo/JvDwQ1m9uwBPvyQE0pcaw202ZlvLVsGVK4MNGnCg6r164Gff1Z10NvOnwfefBNo0YL7SYh/WrKErWdK3D1Pibsk6sUXgV27gI0bTUci3lK0KHcu/PBDtXD4Qtq0bBHYt49TNb74gosf33+fk5zEe6Ki2MNeowZbZBYv5uWRR0xHFhgGDeJzXAtS/du0aUDJkmyVEc9S4i6Jql2bCxinTTMdiXhT376sNr78MhMa8b7MmTlZY/9+/t2HDuVB1Gefab6+p+3cySpvxYrAoUOsrq9fz/c38Q1Xe8zQoUC+fKajEW+5eJFnE9u0UcuZNyhxl0SlSgW0bAl89x1XiIt/SpcOmDgRWLuWC1bFd3LmBEaPZgtNvXrchTVfPqBXL35N3HPzJjBjBlsySpXic/ubbzjR5LnnlFT40uXLPDh9/HFOsRL/NWsWCw8vvmg6Ev+kxF2SpHVr4MQJzjMW/1WlCpPG/v3ZHiW+VagQ8O23TNY7dACmTAFKlADq1OFmTjpwTpojR7grcKFC3Nzn+nWeMdy7l8ljqlSmIww877zDCWUTJwLBwaajEW+aNg148km+/sTzlLhLklSoADz4oNplAsH777Nlpl07tcyYUrQo8L//MQGdOpXVyqZN+UE4eDBw9KjpCK0nNpa96k2acIzjqFFcGLd5M7BqFdCqFZAmjekoA9Py5VwAP2IER0CK/zp6lAW+Nm1MR+K/lLhLkjgcrLrPnKnFc/4ufXpuGPTnn1pAZlratHzdrVnDxeH163MBccGCTOR//JE7TwYqp5O7044YwTMTTz3FXYDHjGF19/PPOepRzLl0CWjfHqhaFXjtNdPRiLd9/z3PaDVrZjoS/+VwOjXkzxcuXLiALFmyIDo6GpkzZzYdjlsOHADuv58VwNatTUcj3vb22+x137iR/cFiDdHRfA1+/TWryalTA9WqcbO0Bg38f9OgmzeBFSuAefN42b+fB5uNGgFduwJPPKHedSvp1o2FgC1beCZJ/NvDD/NxnjHDdCTus3q+psTdR6z+REiqJ5/kh+SCBaYjEW+7do1vwhkysOKrjVKs58AB4JdfuLHTsmVMasuUiUviK1UCgvzgvOrZs9zdd948vvdER3PxboMGvNSsybMTYi2LFnH05tixTODFv23bBpQty03N7Dy/3er5mhJ3H7H6EyGpvvwS6NKFvbd585qORrwtKoqb1HTrxqknYl0XLjBRmjcPmD+fGzrlysV55WFhvFSoAGTNajrShMXGst0lKoqX9et54BgTw9+hQQMemJQvr8q6lR07BpQrx+fcr7/6xwGkJKxvX+Crr/jY27nQY/V8TYm7j1j9iZBU584BefIAI0dyAxnxf2PGAD162L+KEkhiYjj6cN68uP74y5f5b0WKxCXyrmT+vvvMxBkbywk6riQ9KoqxXrzIfy9cmDHWqcP+fs3+toeYGD5mu3YBmzbxAFL8W2wsF8/Xr8+1JXZm9XxNibuPWP2JkBxNm/IUfVSU6UjEF5xOzrxetowfwhrxZT8xMXcnyBs28OJaaF6oEBe85s0LhIby2nVx/X/WrMmrcN+8yRGyR4+yAue63Pn/e/bExXD//f89oMie3fN/C/G+wYOBIUOA33/n+gvxf8uW8ezeqlVcZ2JnVs/XlLj7iNWfCMkxaxYTuW3bgNKlTUcjvnDuHPvd8+blwsDUqU1HJCkVG8u55lFRXOT6zz93J9fR0Xd/f9q0QI4cPAWeKhWfA6lSsQXi1q24y82brO6fPs2DPpfgYO7AfOeBQdGicUl6tmy+/f3FOyIiuOHVe+8BgwaZjkZ85ZVX+Njv22f/Fjar52tK3H3E6k+E5Lh+HShQAHjhBbZRSGD44w9u0NSzJ2eMi3+7cgU4fvzuCvnp00zM70zUY2LiknjXJV26/1bsc+TQxjv+7sQJrj0oVYrrLfR4B4bz59nG1qePfxysWT1f0/5xkmxp0nBXx3HjgOHDgYwZTUckvvDoo1zb8OabPP1dr57piMSb0qdnP3yRIqYjETuIjeWmO7GxQHi4kvZAMmkScOMG0LGj6UgCg9Z5i1s6d2ZvqnZSDSw9e3LxUevW7E8WEQGA/v25Y2Z4OAcYSGCIjQXGj+faN02a8w0l7uKWggU5lm38+Lv7WMW/BQXxYC1PHo7kO3/edEQiYlp4OM/G/e9/QO3apqMRX1q6lGtlNKffd5S4i9u6dQO2buUqcgkcWbJww5+TJ7nO4dYt0xGJiCnr13NhYrt2QK9epqMRXxs3jpsuValiOpLAocRd3FarFlCsGF+4EliKFQN+/BFYsgR4+23T0YiICf/8AzRuzKlAX3xh/2kikjyHDnGviK5d9dj7khJ3cVtQEF+wP//M6RMSWGrX5m6qo0cD335rOhoR8aWrV5m0BwcDM2dyaIEElgkTOJyidWvTkQQWJe6SIu3aca7zV1+ZjkRM6N6dkwQ6dwZWrzYdjYj4gtMJvPwysH072+a0GDXwXL/Oz/22bTVZzteUuEuKZM0KtGrFI2/1OgcehwMYOxaoXJnVN02aEfF/774L/PADMHkyN2aTwDNjBnDqFM+6i28pcZcU69qVvY5z5piOREwICeGp8hw5gLp1uWGPiPinsWOBoUM5RaZ5c9PRiCnjxnGd24MPmo4k8ChxlxQrXx54/HGOhpTAlD07sHAhz7o8/bTGRIr4ox9/BF5/nfs5aFF64Nq4EVi7VtV2U5S4i0d06wb8/juwc6fpSMSUggWZvB85whnvV6+ajkhEPGXJEi5CbNUK+OgjTREJZOPHA/nz831efE+Ju3hEs2ZA7tycMCKBq1QpYP58IDJSM95F/EVkJNew1K7NCVJByhwC1smT3ISvc2cgVSrT0QQmvfzEI0JCePp08mT2u0vgqlyZC5fmzwc6ddLOuiJ2tmcP8Mwz3GTnp5+A1KlNRyQmffIJE3a1yZijxF08pksXIF06YNQo05GIac8+C0ycyOrcm28qeRexowMHgKeeAnLmBH75BciQwXREYtL581yU2qULkC2b6WgClxJ38ZjMmYHXXuNoyDNnTEcjprVpA3z2GQ/k+vRR8i5iJwcPAjVqcIOlRYu4AF0C2/jxnN/es6fpSAKbEnfxqB49mKB99pnpSMQKunfnqdUPPwT69VPyLmIHhw8zaXc4gIgILkSUwHblCt/L27cH8uY1HU1gU+IuHpUjB3fSHDMGuHjRdDRiBT16sOr+wQdA375K3kWs7OBBoHp1vk4jIjgtSuSbb4CzZ4G33jIdiShxF4/r3Ru4dIktMyIAT62OHg387398fih5F7Ge/fuBatX4+ly2DChUyHREYgU3bvCsacuWQJEipqMRJe7icQUKAC+9BHz8MXDtmuloxCreeIO7Lo4ezbUQsbGmIxIRl717mbSHhAArVihplzjh4Wyf6tvXdCQCBEDiPmzYMDz++ONInz49smbNes/vOXToEOrVq4f06dMjV65ceOutt3DrXwOoly1bhgoVKiBNmjR44IEHMGnSJB9Eb199+nDe6+TJpiMRK+nWDfjySy5yat8euHnTdEQismEDULUqkDEjK+3qaReXmBi2OTZqBJQubToaAQIgcb9x4waaN2+OLl263PPfY2JiUK9ePdy4cQNr1qzB5MmTMWnSJAwaNOj29/z999+oV68eatSogU2bNuGNN95Ahw4dsHDhQl/9GrZTrBg3ZfrgA23CI3fr2BH47jvg+++BBg3YViUiZixZwkp7wYKstIeGmo5IrGTWLGD3bg4XEGtwOJ2B0W06adIkvPHGGzh//vxdX//tt99Qv359HD16FLlz5wYAfPHFF+jTpw9OnTqFkJAQ9OnTB/Pnz8e2bdtu/9wLL7yA8+fPY8GCBUm6/wsXLiBLliyIjo5G5syZPfeLWdimTcDDD3OXtVatTEcjVrN0KdCkCVCiBDdrypXLdEQigeX774G2bbkj6o8/suIu4uJ0AmFhnNm+dKnpaHzH6vma31fcE7N27VqULVv2dtIOAHXr1sWFCxewffv2299Tu3btu36ubt26WLt2bby3e/36dVy4cOGuS6ApX54b8YwYoX5m+a9atYDly9k7+cQTXBgnIr4xejTw4ou8zJmjpF3+a+FCYONG4J13TEcidwr4xP348eN3Je0Abv//8ePHE/yeCxcu4OrVq/e83REjRiBLliy3LwUKFPBC9Nb3zjvA9u3AzJmmIxErevhhYM0azot+/HH22oqI98TGAm+/DfTqxcWGEycCqVObjkqsxukEBg8GKlUCatY0HY3cyZaJe9++feFwOBK87Nq1y2iM/fr1Q3R09O3L4cOHjcZjyhNPAE8/DfTvr4WIcm9FigCrV7PHtlo14LffTEck4p+uXePEr48+Aj79lGdDHQ7TUYkVzZkDrFsHvP++niNWk8p0AO7o3bs32rVrl+D3FEnisNE8efJg/fr1d33txIkTt//Nde362p3fkzlzZqRLl+6et5smTRqkSZMmSTH4u5EjWVn99lugUyfT0YgV5cwJ/P475wTXr8/nzJtv6gNDxFP++YdrSrZuBX74AXj+edMRiVXdusXFqLVrA3XqmI5G/s2WiXvOnDmRM2dOj9xW5cqVMWzYMJw8eRK5/n913OLFi5E5c2aUKlXq9vf8+uuvd/3c4sWLUblyZY/E4O/KlWMf5eDBQOvWQIYMpiMSK8qYEZg9Gxg4kKfyN28GvvoKiOfYWESSaN064LnngOBgYNUqLjgUic/kycCuXRwsIdZjy1aZ5Dh06BA2bdqEQ4cOISYmBps2bcKmTZtw6f9n0D311FMoVaoU2rRpg82bN2PhwoUYMGAAunXrdrti3rlzZ+zfvx9vv/02du3ahfHjx+PHH39Ez549Tf5qtjJ0KHD6NE/PisQnOBgYPpzTLmbOBJ58EjhyxHRUIvY1aRJb0IoUASIjlbRLwq5eBd59F2jRQs8Vy3L6ubZt2zoB/OcSERFx+3sOHDjgfOaZZ5zp0qVz5siRw9m7d2/nzZs377qdiIgIZ/ny5Z0hISHOIkWKOCdOnJisOKKjo50AnNHR0R74rezp9dedzsyZnc7Tp01HInYQFeV0FijgdObO7XSuXm06GhF7uXnT6ezRw+kEnM6OHZ3O69dNRyR28MEHTmeqVE7n3r2mIzHH6vlawMxxN83qc0F94dQpoGhRbsDz8cemoxE7OHkSaNoUWL8eGDsW6NBBfe8iiTl1iu2Jy5bxLGeXLnrdSOLOneOZmRdfBMaNMx2NOVbP1/y+VUasI2dOLjgcOxY4eNB0NGIHuXJx44+XXwZefZUfKAG4JYJIkkVEcF3R5s3A4sVA165K2iVpRo7k9LeBA01HIglR4i4+1asXkDUre+hEkiIkBPj8c07C+PVXTiiKjDQdlYi13LoFDBrEjc1KlmTiXr266ajELo4cAcaMAXr3Bv5/oJ5YlBJ38amMGfnhMmUKx5KJJFWLFtzFL3t2btY0apR25BUBuPtwjRpc2D10KLBoEZA3r+moxE7ee4+fz717m45EEqPEXXyuY0f20WkbZUmuIkU4zq5HD37ANGjAfl6RQDVnDltjDh5kT3v//pzOJJJUO3ZwB92BAwELtnTLvyhxF58LCeFubL/8AqxcaToasZuQEODDD4H587lotVw5YMEC01GJ+Nbly0D37kDjxhz3uGkTUKWK6ajEjvr3587V2iDRHpS4ixHPP88ZsT17AjExpqMRO3r2WfbxlikDPPMMF7CeP286KhHvi4gAypblbtRjx3LPg/vuMx2V2NHvv3Pju/ffB7TZuz0ocRcjgoKAzz4DoqK4O6aIO0JDgYUL+RyaMQMoXZqVeBF/dPEip8TUrAkUKABs2QJ066apMeKeGzd41qZKFU7sEntQ4i7GVK7MKuk776hPWdzncHC++/btwEMPAfXrA+3acSaxiL9YsoRV9ilTWPSIiAAeeMB0VGJnn34K7NnDme06+LMPJe5i1MiRgNMJ9OtnOhKxuwIFOC7y22956rd0aWDuXNNRiaTMhQvsPa5Th4uzt2xhlTRIn96SAkeOAIMH87n00EOmo5Hk0EtfjMqZkyPMvvkGWLvWdDRidw4H0L49q+8VKgCNGnHx3t9/m45MJHmcTmDqVKBECeC777iXwZIlTN5FUqpXL45/HDzYdCSSXErcxbhXX+VC1a5dtVBVPCNfPmDePGD6dK6jKFmSc4qvXjUdmUjiNm0CqlYFXnoJePJJjuvr3FlVdvGMxYuBn34CPvoIyJLFdDSSXHobEOOCg4Hx4zkh5IsvTEcj/sLh4PSiXbs4833ECKBUKbbROJ2moxP5r3Pn2LoQFsb/XrqUB58FCpiOTPzF9et8jlWtCrRqZToacYcSd7GESpW4wLB/f+DkSdPRiD/JkAEYNgzYto2V9yZNOEpyzx7TkYlQbCzw9ddA8eJcfPrhh6y616xpOjLxN6NHA/v2aUGqnSlxF8sYPpzV9z59TEci/qhYMY6KnDMH2L2bi1e7dweOHzcdmQQqpxP47Teux+jYkfsR7N7N/uPUqU1HJ/7m0CFg6FDuPF22rOloxF1K3MUycuRgO8OkScDq1aajEX/kcAANG3Lx6vvvA+HhQNGiPNOjzZvEl1av5o6nzz7LbeZXr2a1PW9e05GJv+rZkz3t775rOhJJCSXuYikdOrBtpmtX4NYt09GIv0qXjmd29u9n9Wn0aE7r+PBDLWAV79q6lQePVapw1OOvvwLLlwOPP246MvFnCxZwh92PP+aBotiXEnexlKAg9t5t3cpNRkS8KVs2tmjt2we88AI3A3vgAeDLL7mroIin7N/PKTHlyvGMz3ffARs2sD1GvcbiTVevAq+9BlSvzvc5sTcl7mI5FStyG+/+/YG//jIdjQSCvHk52WjXLn64derEBP7TT4HLl01HJ3a2ZQundxQrxjF848YBO3cCLVtqvKP4xsCBwOHDfI/TQaL96W1DLGnkSCZT7dpptrv4TtGi7Hvftg2oUQN4802gYEFuUnLmjOnoxE5WrgTq1WOFffVqYMwYntnp0gUICTEdnQSK1auBUaOAIUM4VUvsT4m7WFKGDMDEiXEfeCK+VLo0MHkyz/i0bg188AFQqBCnfRw5Yjo6sarYWOCXX9i//uSTnOIxbRqwdy/PIqZPbzpCCSRXrnAn6Ucf5V4W4h+UuItlPfkkFw6+8w5HpIn4WqFCbJc5eJBJ+6RJXMTaujWwZo02chK6eBH4/HPgoYeABg34vJg3L65NRqMdxYT+/dkiM2kSRy2Lf1DiLpY2fDiQPz+rBmqZEVNy5uSp5oMHWX1ftw544gmgfHnu9nvxoukIxYQtW9j6EhrKxX/Fi7NFZvVqoH599ROLOStWsOgwbBhQooTpaMSTlLiLpaVPz2rBunUc2SdiUqZMnIW8Zw/Hq91/P1sg8uXj9bZtpiMUb7t+nesgqlRh//qcOTwbc+AAx+1VqWI6Qgl0ly+z2PX44zxrLf5FibtY3hNPMFkaMIDTGERMCwoC6tYFZs9mwtajB5O2smWZuH35JXD2rOkoxVOcTiAqiu9D+fOzVSpNGmDGDJ6FGTyYXxexgn79gGPHuE5MLTL+x+F0qkvTFy5cuIAsWbIgOjoambX7QbJdvcq2hKxZeRo6VSrTEYnc7eZNJvJffw0sWcIPzGefZZJXvz6QNq3pCCW59u3jvPXwcK6zyZWLPeudOqn9QKxp2TJOxPrkE1Xb3WX1fE2Ju49Y/YlgB2vXspo5bBjQt6/paETid/w4MH06J4pERnKnwqZNmfRVr64qmJWdOsXHLjycLXoZMwJNmvAArGZNFQ3Eui5d4lm/AgWYwGufAPdYPV9T4u4jVn8i2MXbb3PBzYYNHNknYnV79jAJDA9nBTdXLs73btAAqFOHiaGYtWcPp8DMncszeg4H8PTTPNBq2FBjHMUeunblGNstW7gnhbjH6vmaEncfsfoTwS6uXQMefphz3teu1Zg1sQ+nE1i/Hpg1i0nijh3sk65Zk0l8gwbqk/aVW7c4znPuXD4We/awlal2bT4Ozz0H5MhhOkqRpFu6lM/fsWO5UF7cZ/V8TYm7j1j9iWAn69dzwWqvXhzNJ2JH+/bFVXlXrOC40/Lluei1enU+xzNlMh2lf3A6+fdetgz4/XdOBDp3DsiTh+sPGjYEatVSZV3s6eRJvneULAksXqwWmZSyer6mxN1HrP5EsJsPP2TbzPz5XAAoYmfnzzOZnDePieXx4+yDr1iRSbwS+eS5M1F3Xf75hwlNhQpsg2nQgH9fJTliZ7GxwDPPAJs28ZI3r+mI7M/q+ZoSdx+x+hPBbmJj+cH7xx98s1KLgfgLp5OtG3cmnXcm8o8+CoSF8VKihBZLAjzw2bCBIxujooBVq+IS9bCwuw9+smQxHa2I54wYwR1SFy7kmhlJOavna0rcfcTqTwQ7On2apweLFGGVUgmM+KM7E/nlyzmlZu9e/lu6dHwNhIWxkuxK5tOkMRqy1zidfN1v3hyXpEdFAfv3898zZODfo3JljsRToi7+bNUqHpD27Qu8/77paPyH1fM1Je4+YvUngl2tXMkPaL1xSSCJjgY2boxLXDdsYHLvdLLKXKgQULz4fy8FCthjFOWlSzw42bPnv5fz5/k9GTNyobrr7ENYGH9HO/x+IimlwpX3WD1fU+LuI1Z/ItjZ8OHcVVWnCiWQXbjASvTu3Xcnun/9xc2hAFbi8+dnH+ydl9DQuP/Onp299OnTe7b/++ZN4OJFxnniBHd2PHYMOHo07r9d/3/iRNzP5chx98FHsWKcVV2smPrTJTDFxnJB9bp1ahX1Bqvna0rcfcTqTwQ7i43lYrPNm7U4R+Tfbt0CDh2KS+SPHPlv0uyqYt/J4WDrSaZMrG5nysRLunRMmF0Xh4OvQdfl1i1WzC9ejLu+eBG4ceO/95EqFSe7/PtAokiRuCT9vvu8/zcSsZOPPgLeekvDGbzF6vmaEncfsfoTwe5OnLh7HJZOl4sk3dWrXAB79CjHJN6ZcP87Cb969e5EPTaWrzdXIp8qFRN9V7J/Z9Lv+u/cuZmg58ihqrlIcqxbB1StCvTsCfzvf6aj8U9Wz9eUuPuI1Z8I/iAightQvPsuMGiQ6WhEREQ859w5rusIDeVCdW1A6B1Wz9dU6xC/UaMGE/bBgzmBQ0RExB84nUD79lwj8sMPStoDmRJ38SsDBgDVqgEtW/LUv4iIiN19+ikwZw4waRJQsKDpaMQkJe7iV4KDgfBwLph77jng+nXTEYmIiLhvyRLgzTeB3r05TUYCmxJ38Tt58wKzZ3O2dadOPMUoIiJiN3v3As2bc/3WyJGmoxErUOIufqlSJeCbb4DJk4FRo0xHIyIikjzR0ayw587NvnZtsiQAoKeB+K1WrYBt24C33wZKlQKeecZ0RCIiIomLiQFeeIFrtf74A8ia1XREYhWquItfGzYMqFePb4A7d5qORkREJHF9+gCLFgHTp3MzMhEXJe7i14KCuFi1QAGecjx71nREIiIi8Zs8Gfj4Y2D0aOCpp0xHI1ajxF38XqZMwNy53Lzi+eeBmzdNRyQiIvJfa9YAr74KdOgAvPaa6WjEipS4S0AoUgSYMYO7zfXqZToaERGRux06BDRpAjz6KDBuHMcai/ybEncJGNWrA2PH8vLll6ajERERocuXgUaNgHTpgJ9/BkJCTEckVqWpMhJQOnUCtm4FunUDSpTgLqsiIiKmxMYC7dpxZvuaNUDOnKYjEitTxV0CzujRTNife06TZkRExKx33mEr59SpwEMPmY5GrE6JuwSc1KmBn34C8uXjiv3Dh01HJCIigWjUKOCDD1hQatLEdDRiB0rcJSBlywYsWMCd6OrWBc6cMR2RiIgEkqlTgd69gb59gTfeMB2N2IUSdwlYoaHAwoXAqVNA/fpcHCQiIuJtv/4KvPwyL8OHm45G7ESJuwS04sWB334Dtm0DmjfXjHcREfGutWuBZs2AZ58FJkzQ2EdJHiXuEvAqVgRmzQKWLGH1IzbWdEQiIuKPtm8H6tXj584PP7BdUyQ5lLiLAKhdG5g2DQgPB958E3A6TUckIiL+5NAhrqnKn5+7eadLZzoisSMd64n8v+efZ7979+5A7txAnz6mIxIREX9w+jST9tSpubYqa1bTEYldKXEXuUO3bsDJk1zlnzMnW2dERETcdekSByCcOQOsXg3kzWs6IrEzJe4i//Lee8CJE0DHjkCOHEDDhqYjEhERO7pxgwtRt28Hli0DihUzHZHYnXrcRf7F4QDGjeNmGC1acNGqiIhIcty6BbRuDUREALNnA2FhpiMSf6DEXeQegoO5ULV6dVbcf//ddEQiImIXt24BbdpwYtn06UCtWqYjEn+hxF0kHmnS8E23alX2Jy5bZjoiERGxupgYoG1b4KefOPKxcWPTEYk/UeIukuhjoGgAACAASURBVIC0aXmK84knOHt3xQrTEYmIiFXFxADt2rHK/v33QNOmpiMSf6PEXSQR6dIBc+YAjz3Gne5WrTIdkYiIWE1MDCeRffcdWy2bNzcdkfgjJe4iSZA+PTBvHlCpEvD006q8i4hIHFfSPm0aLy1amI5I/JUSd5EkciXvjz4KPPOMFqyKiEjcQtTwcCbtLVuajkj8mRJ3kWTIkAH45RegShX2vC9aZDoiEREx5eZNJuquhahK2sXblLiLJJOr571WLaBBA2D+fNMRiYiIr12/zj72OXOAGTO40ZKItylxF3FD2rTAzJmsujdpwskzIiISGK5d48SYBQv4/t+okemIJFAocRdxU0gIR341acJKy7ffmo5IRES87fx5oG5drnOaO5fTxkR8RYm7SAqkTs3RXx07Aq+8AgwbBjidpqMSERFv+Ocfbsq3bRuwdCnw1FOmI5JAk8p0ACJ2FxwMjB8P5MsHDBgAHD0KjBnDr4uIiH/YuZOVdoeD+3mULGk6IglEStxFPMDhYNKeJw/QqRNw4gTHgqVNazoyERFJqTVrgPr1WaBZsIDXIiaoVUbEgzp0AGbN4qSZunXZCykiIvY1bx5QuzZQtiywcqWSdjFLibuIhzVsyN7HrVuBJ59kT6SIiNjP118DjRtz072FC4GsWU1HJIFOibuIFzz+OLB6NSvujz/O3kgREbEHpxN4/30OHujcGfjxR7U+ijUocRfxkpIlgbVrgcyZudPq2rWmIxIRkcTExABduwIDBzJ5HztWwwbEOpS4i3hRvnzAihVA6dLcaXXePNMRiYhIfK5d426oX33FNpn+/Tl8QMQqlLiLeFm2bMCiReyRbNwY+PhjzXoXEbGao0eBatXidkN95RXTEYn8lxJ3ER9Im5Y9km+/Dbz5JtC2LXD1qumoREQEANatAypWZPK+ciVHP4pYkRJ3ER8JDgZGjOBOqzNmsLKjiTMiImZNnsz34/vvB/78EwgLMx2RSPyUuIv4WMuW3HXv2DFWeLRoVUTE927dAnr2BNq1A156Cfj9d26iJ2JlStxFDKhQAYiMBIoWBapXByZONB2RiEjgOHuW644++4xTY778EkiTxnRUIolT4i5iSO7crPC0bQu8/DLwxhusAImIiPds3w488giwcSOweDHQrZsmx4h9KHEXMSgkBJgwARg3jpe6dYEzZ0xHJSLin+bMAR57DMiQgf3sNWqYjkgkeZS4ixjmcHCzj8WLgS1bgEqVgG3bTEclIuI/YmOBoUM5krduXWDNGi5GFbEbJe4iFlG9OitAGTOyIjRjhumIRETsLzoaeP55YNAgYMgQjubNmNF0VCLuUeIuYiGFC7MSVK8ed+/r0kXz3kVE3PXnnxwGsHgxMGsWMHAgEKTMR2xMT18Ri8mQAfjhB+CLL4BJk4BHHwV27jQdlYiIfcTGcpfqxx8HsmfnQtTGjU1HJZJyStxFLMjhADp1Atav56SZihWBb78FnE7TkYmIWNupU0CDBtyl+o03uG9GkSKmoxLxDCXuIhZWtixP9bZsCbzyCtCqFXDhgumoRESsKSICKFeORY9ffwU+/JDTu0T8hRJ3EYvLkAH4+mvg+++BX36J27xJRETo1i0uPq1VCyhZEti8mRssifgbJe4iNvHCC+zTzJaNfZujR6t1RkTk8GGgZk1g2DCOfFy0CAgNNR2ViHcocRexkaJFgdWrgddfB3r1Yh/n6dOmoxIRMWPuXKB8eeDvv4Hly4H+/YHgYNNRiXiPEncRmwkJAT76CJg/H/jjD/ZzLl1qOioREd+5coUFjEaNgKpV2RpTpYrpqES8T4m7iE09+yywaRPw4INA7dpA585auCoi/m/lShYsvvoKGDOG89nvu890VCK+ocRdxMby5ePGIuPHA9OmcQrNokWmoxIR8bzLl4EePYBq1YBcuVi4eO01js8VCRRK3EVsLiiIO6xu2wYUKwbUrQt07MhtvkVE/MHy5cBDD7HKPmoUsGIFUKKE6ahEfE+Ju4ifKFyY1fcJE4Dp04EyZYAFC0xHJSLivkuXgO7dgerVeYZxyxZuqqQFqBKolLiL+BGHA3j1VVbfS5XiHOOXXwbOnzcdmYhI8vz+O9v/Jk5kL/uyZcADD5iOSsQsJe4ifqhgQVbbv/4a+PlnoHRpTqEREbG6ixfZ/lerFs8kbtnCXvYgZSwiStxF/JXDAbzyCrB9Oycw1K8PtG0LnDtnOjIRkXtbsoRtflOnAuPGcdRt0aKmoxKxDiXuIn4uf35W2ydOBObM4fjISZOA2FjTkYmI0NGjQOvWQJ06bIfZuhXo2lVVdpF/00tCJAA4HEC7dsCOHTz93L49NyvZsMF0ZCISyG7c4IZyJUpwlO0337Dqfv/9piMTsSYl7iIBJDQU+O47LvK6eBGoWJG9pGfOmI5MRALNkiVs4+vTh8WE3bu5mF5z2UXip8RdJABVqwZs3Ah88gkT+eLFOUYyJsZ0ZCLi7w4dApo1Y1tMzpx8LxozBsiWzXRkItanxF0kQKVKBbz+OrBnD9CoEdC5M1CpErB2renIRMQfXbsGDBvGdTZr1gDh4XEbK4lI0ihxFwlwuXMD334bl7A//jhPW584YTYuEfEf8+dzWsx77wHdurEt5sUX1RYjklxK3EUEAPDYY8D69cAXXwBz53Kx2KefArdumY5MROxq3z6gQQOOo3XNZP/wQyBTJtORidiTEncRuS04GOjUie0zLVsCPXty86afftL4SBFJuhMn2IpXsiSweTMwYwaweDH/X0Tcp8RdRP4je3bg8885LrJoUeD559n/vmgR4HSajk5ErCo6Ghg4kO8bU6awNWbnTqBpU7XFyP+1d+/BUVUJHsd/HcgL8kQeAQ3KM5TAiEbFqCCMbKJQruAUE4F1lYqIGHxSDsioMLU1qwv4pHjpumCtjCjDiosyOJFnIQEhhkcQMiCGRyCASB6ERxJy9o+z3aFJiAFJd9/091N1K919Ty7ncm66f33uuefiaiC4A7ikPn2k5cvtBWTh4VJamp0HftMmf9cMQCA5c0Z64w2pc2c7L3tmprRvnzR5stSypb9rBzQdTTq4FxQUKCMjQ506dVJkZKS6dOmiKVOmqKKiwqvc9u3b1a9fP0VERCgxMVHTpk2rta3FixerR48eioiIUO/evbV8+XJf7Qbgd/37S+vX27Hvx4/b8fDDhtkbOgEIXlVV0n/+p51SduJEafhwae9e6T/+Q2rVyt+1A5qeJh3cd+/ererqas2bN087d+7UW2+9pblz52ry5MmeMqWlpUpNTdX111+vnJwcTZ8+XVOnTtV7773nKbNhwwaNGDFCGRkZys3N1dChQzV06FDl5eX5Y7cAv3C57EVmW7faU+Bbt0q9e9sZaPbv93ftAPiSMXbceq9e0pgx0l132SExc+dK117r79oBTZfLmOAasTp9+nTNmTNH+/btkyTNmTNHf/zjH1VUVKSwsDBJ0qRJk7R06VLt3r1bkpSenq7y8nJ98cUXnu3ccccd6tOnj+bOndugf7e0tFSxsbEqKSlRTEzMVd4rwPfOnZPef1/6t3+TiovtHVgnT5batvV3zQA0FmPsHU9feknKybHD5/7936VbbvF3zYCrI9DzWpPuca9LSUmJWl1w/i47O1v9+/f3hHZJSktLU35+vk6ePOkpM2jQIK/tpKWlKbueO9WcO3dOpaWlXgvQlISHS+PH2+neXnlFmj/fXpA2aZJUVOTv2gG4moyxs8L89rdSaqoUGiqtXi2tWEFoB3wpqIL73r17NXPmTI0dO9bzWlFRkdq1a+dVzv286P/Tx6XKFNWTTl577TXFxsZ6lsTExKu1G0BAiYqSXn7ZBvinnpJmzbLzNY8bZ18D4Fznz9vpYG+91Qb20lJp6VJ759MBA/xdOyD4ODK4T5o0SS6Xq97FPczFrbCwUPfdd5+GDx+uMWPGNHodX3rpJZWUlHiWgwcPNvq/CfhT69b2grQDB6RXX5WWLLEXrI0YYcfDA3AO91C4Hj3sdLDx8bbHfcsW6cEHmdoR8Jfm/q7AlZgwYYIee+yxest07tzZ8/jw4cMaOHCg7rzzTq+LTiUpISFBRy+6t7v7eUJCQr1l3OvrEh4ervDw8F/cF6CpiY+3Y92ff176r/+yd0m8+Wbp/vvtMJp+/fjQBwJVWZk0b5705pt2yNuwYdLChfY+DgD8z5E97m3atFGPHj3qXdxj1gsLCzVgwAAlJydr/vz5Cgnx3uWUlBStW7dOlZWVnteysrKUlJSk+Ph4T5mVK1d6/V5WVpZSUlIaeU8B54qMtHM579kjffSRdPCgdM89dvaJ//1f7sQKBJLjx+2Qt44d7Rfv+++3070uWUJoBwKJI4N7Q7lDe8eOHTVjxgwdP35cRUVFXmPTR44cqbCwMGVkZGjnzp365JNP9M477+iFF17wlHn22We1YsUKvfHGG9q9e7emTp2qLVu2aPz48f7YLcBRQkOlUaOk7dulL76QQkLsqfbf/Eb67/+WLvjODMDHCgqkp5+Wrr9eevttO73rDz9IH3xgh8kACCxNejrIBQsWaPTo0XWuu3C3t2/frszMTG3evFmtW7fW008/rYkTJ3qVX7x4sV5++WUVFBSoW7dumjZtmgYPHtzgugT69EKAL61fL73+uvTll1KHDnYe6DFjmP8Z8IXqajul45w59uxXfLz0zDP2DNk11/i7doB/BXpea9LBPZAE+oEA+MOOHXYWmo8+ks6etT3x48bZKedCmvT5QMD3TpyQFiywN0nau9feQG3cOOlf/1Vq2dLftQMCQ6DnNT4aAfhN7942RBw+LL3zjpSfL/3TP9lT9G+9Jf38s79rCDibMdLGjdKjj9ozWpMn2zHr69dL27bZ4E5oB5yD4A7A72Ji7Gn6HTuktWul5GRp4kQbNEaPljZv9ncNAWcpL7fTOSYnSykp0rp10tSp9iLxhQvtReLM7gQ4D8EdQMBwuaT+/aWPP7YB45VXpFWrbA/hrbfaC+ZOn/Z3LYHAtWuXHa/eoYM0dqz9+eWXdmjMpElS27b+riGAX4PgDiAgtWtnT+vv2yctW2YDx5gxNog8/ri93TpTSgLSTz9Js2fbXvQbb5QWLbJnsPbtszM5DR4sNWvm71oCuBq4ONVHAv1iB8AJ9u2zN3VauNBOY3fttdLIkXa6yd/8hlP/CB6nT9sZYRYulFassGPZU1OlRx6RHnpI4v5/wJUJ9LxGcPeRQD8QACcxRsrOtqHlk0/sbBk9e9oAP3KknZMaaGqqqqSVK+1x/9ln0qlTUt++9rhPT2cYDHA1BHpeI7j7SKAfCIBTVVZKX31lw8znn0tnzkh33y39y79Iw4dLrVr5u4bAlTNG2rLFHt+LFklHj0rdu9d8Se3a1d81BJqWQM9rBHcfCfQDAWgKysqkpUttyMnKsuN6779fevhh+zMuzt81BH6ZMVJenvQ//2OP5T17pIQEexyPGmVnimFYGNA4Aj2vEdx9JNAPBKCpOXrUDqNZuFD69lupeXM7Y80DD9ilSxd/1xCoUVFhp0JdtswuBQVSdLQdrz5qlDRwoD2GATSuQM9rBHcfCfQDAWjKDhyws2ssW2anl6yosLNvPPCA9M//bMcJM+sGfO3ECWn5cntcrlhhzxglJtYclwMGcJEp4GuBntcI7j4S6AcCECzKyuwwmmXLbJj/6SepdWtpyBAbllJTpagof9cSTZEx9u7A7l71b76xU5redltNWGd2JMC/Aj2vEdx9JNAPBCAYnT8vbdpUE6R27pTCwuywhMGD7c+ePaUQ7niBK1RaagP611/bY2zPHikyUho0yAb1IUOk9u39XUsAboGe1wjuPhLoBwKAmps9LVtmbxFfWSldc410zz122MKAAQR51K+0VFq/Xlqzxi45ObZXvUOHmrM6v/2t1KKFv2sKoC6BntcI7j4S6AcCAG+nT0sbN9YEsE2b7Nh4gjwuVF9Qdx8jAwbYaRsZAgMEvkDPawR3Hwn0AwFA/RoS5Pv1s0E+NNTPlUWjOXHCtj1BHWiaAj2vEdx9JNAPBACX58wZ7yC/caMN8hER9gLD5OSahTDvTD/9ZIP5hcv+/XYdQR1omgI9rxHcfSTQDwQAv86ZM/YOl999VxPydu+2vbFhYbXDfK9e9nUEhmPHvAP6d9/ZaUQlKTZWuuUWuyQn21lgunQhqANNUaDnNYK7jwT6gQDg6isvl7Zu9Q6D339fE+Z797Zh8MYb7W3su3eXbriBG+00puJiO7PLP/5hl23bbNscOmTXx8XVBHT30rkz1zEAwSLQ8xrB3UcC/UAA4BunT9eExZwcKTfXBsgzZ+z65s1tb647yHfrVvO4Qwd6eRvi7Flp796acP6Pf9SE9WPHasq1b2+HMV0Y0jt14v8YCGaBntcI7j4S6AcCAP+prpYKC72Dpnv58Uc737wktWxZE+Q7d7bB07106GB/Rkb6d18amzH2AtHDh6UjR2qWQ4dqwvmBA7acJMXESElJNV9+LvxCFB3t330BEHgCPa8R3H0k0A8EAIGposKG9wvDfH6+vUjyyBHp3Dnv8rGxNSH+4lDfvr0dChIVZUNrdLS9mNafPcznz0unTtk72rp/Hj9u9+3icH74sFRUZOfXv1CrVnYfLzw74V7atKEHHUDDBXpeI7j7SKAfCACcxxg7ZruugHvx49On695Gs2Y2yLvD/IWh3v24ZUtbLiSkZnE/d7nsGYPqahvC3Y+rq+2XjgsD+YWP3T/dQ4Tq0qaN95eOuh4nJEjh4Y3z/wsg+AR6XuMSKABwKJdLio+3S8+ely5njA3JR45IJSW1w3NdgbqszA7fKSuzF9leGMgvXi4O9e4lNNT7C0DbtvV/QXD/bN1aateOKTQB4GIEdwBo4lwuO9Y7ADuPAACXgQmuAAAAAAcguAMAAAAOQHAHAAAAHIDgDgAAADgAwR0AAABwAII7AAAA4AAEdwAAAMABCO4AAACAAxDcAQAAAAcguAMAAAAOQHAHAAAAHIDgDgAAADgAwR0AAABwAII7AAAA4AAEdwAAAMABCO4AAACAAxDcAQAAAAcguAMAAAAOQHAHAAAAHIDgDgAAADgAwR0AAABwAII7AAAA4AAEdwAAAMABCO4AAACAAxDcAQAAAAcguAMAAAAOQHAHAAAAHIDgDgAAADgAwR0AAABwAII7AAAA4ADN/V2BYGGMkSSVlpb6uSYAAACoizunuXNboCG4+0hZWZkkKTEx0c81AQAAQH3KysoUGxvr72rU4jKB+pWiiamurtbhw4cVHR0tl8vl7+r4TGlpqRITE3Xw4EHFxMT4uzpoZLR3cKG9gwvtHVyCtb2NMSorK1OHDh0UEhJ4I8rpcfeRkJAQXXfddf6uht/ExMQE1R9+sKO9gwvtHVxo7+ASjO0diD3tboH3VQIAAABALQR3AAAAwAGaTZ06daq/K4GmrVmzZhowYICaN2dkVjCgvYML7R1caO/gQnsHHi5OBQAAAByAoTIAAACAAxDcAQAAAAcguAMAAAAOQHAHAAAAHIDgjquioKBAGRkZ6tSpkyIjI9WlSxdNmTJFFRUVXuW2b9+ufv36KSIiQomJiZo2bVqtbS1evFg9evRQRESEevfureXLl/tqN3AZ/vznP+vOO+9UixYtFBcXV2eZAwcOaMiQIWrRooXatm2rF198UVVVVV5l1qxZo1tuuUXh4eHq2rWrFixY4IPa42qYNWuWbrjhBkVERKhv37769ttv/V0lXIF169bpgQceUIcOHeRyubR06VKv9cYYvfrqq2rfvr0iIyM1aNAg7dmzx6vMzz//rFGjRikmJkZxcXHKyMjQqVOnfLkbaIDXXntNt912m6Kjo9W2bVsNHTpU+fn5XmXOnj2rzMxMXXPNNYqKitLvfvc7HT161KtMQ97b0TgI7rgqdu/ererqas2bN087d+7UW2+9pblz52ry5MmeMqWlpUpNTdX111+vnJwcTZ8+XVOnTtV7773nKbNhwwaNGDFCGRkZys3N1dChQzV06FDl5eX5Y7dQj4qKCg0fPlzjxo2rc/358+c1ZMgQVVRUaMOGDfrwww+1YMECvfrqq54yP/74o4YMGaKBAwdq69ateu655/T444/rq6++8tVu4Ap98skneuGFFzRlyhR99913uummm5SWlqZjx475u2q4TOXl5brppps0a9asOtdPmzZN7777rubOnatNmzapZcuWSktL09mzZz1lRo0apZ07dyorK0tffPGF1q1bpyeeeMJXu4AGWrt2rTIzM7Vx40ZlZWWpsrJSqampKi8v95R5/vnntWzZMi1evFhr167V4cOH9dBDD3nWN+S9HY3IAI1k2rRpplOnTp7ns2fPNvHx8ebcuXOe1yZOnGiSkpI8z3//+9+bIUOGeG2nb9++ZuzYsY1fYVyR+fPnm9jY2FqvL1++3ISEhJiioiLPa3PmzDExMTGeY+APf/iD6dmzp9fvpaenm7S0tMatNH6122+/3WRmZnqenz9/3nTo0MG89tprfqwVfi1J5rPPPvM8r66uNgkJCWb69Ome14qLi014eLj5+OOPjTHGfP/990aS2bx5s6fM3/72N+NyuUxhYaHvKo/LduzYMSPJrF271hhj2zY0NNQsXrzYU2bXrl1GksnOzjbGNOy9HY2HHnc0mpKSErVq1crzPDs7W/3791dYWJjntbS0NOXn5+vkyZOeMoMGDfLaTlpamrKzs31TaVw12dnZ6t27t9q1a+d5LS0tTaWlpdq5c6enDO3tPBUVFcrJyfFqu5CQEA0aNIi2a2J+/PFHFRUVebV1bGys+vbt62nr7OxsxcXF6dZbb/WUGTRokEJCQrRp0yaf1xkNV1JSIkmez+qcnBxVVlZ6tXePHj3UsWNHr/b+pfd2NB6COxrF3r17NXPmTI0dO9bzWlFRkdcfuiTP86KionrLuNfDOX5Ne5eWlurMmTO+qSgu208//aTz58/ztxoE3O1ZX1sXFRWpbdu2XuubN2+uVq1acTwEsOrqaj333HO666671KtXL0m2LcPCwmpdt3Rxe//SezsaD8Ed9Zo0aZJcLle9y+7du71+p7CwUPfdd5+GDx+uMWPG+KnmuBJX0t4AAOfJzMxUXl6eFi1a5O+q4DI093cFENgmTJigxx57rN4ynTt39jw+fPiwBg4cqDvvvNProlNJSkhIqHVluvt5QkJCvWXc69G4Lre965OQkFBrlpGGtndMTIwiIyMbWGv4WuvWrdWsWTP+VoOAuz2PHj2q9u3be14/evSo+vTp4ylz8UXJVVVV+vnnnzkeAtT48eM9FxFfd911ntcTEhJUUVGh4uJir173C/+2G/LejsZDjzvq1aZNG/Xo0aPexT1mvbCwUAMGDFBycrLmz5+vkBDvwyslJUXr1q1TZWWl57WsrCwlJSUpPj7eU2blypVev5eVlaWUlJRG3lNIl9fevyQlJUU7duzw+kDPyspSTEyMbrzxRk8Z2tt5wsLClJyc7NV21dXVWrlyJW3XxHTq1EkJCQlebV1aWqpNmzZ52jolJUXFxcXKycnxlFm1apWqq6vVt29fn9cZl2aM0fjx4/XZZ59p1apV6tSpk9f65ORkhYaGerV3fn6+Dhw44NXev/Tejkbk76tj0TQcOnTIdO3a1dx7773m0KFD5siRI57Frbi42LRr18488sgjJi8vzyxatMi0aNHCzJs3z1Pmm2++Mc2bNzczZswwu3btMlOmTDGhoaFmx44d/tgt1GP//v0mNzfX/OlPfzJRUVEmNzfX5ObmmrKyMmOMMVVVVaZXr14mNTXVbN261axYscK0adPGvPTSS55t7Nu3z7Ro0cK8+OKLZteuXWbWrFmmWbNmZsWKFf7aLTTQokWLTHh4uFmwYIH5/vvvzRNPPGHi4uK8ZpqAM5SVlXn+fiWZN9980+Tm5pr9+/cbY4x5/fXXTVxcnPn888/N9u3bzYMPPmg6depkzpw549nGfffdZ26++WazadMms379etOtWzczYsQIf+0SLmHcuHEmNjbWrFmzxutz+vTp054yTz75pOnYsaNZtWqV2bJli0lJSTEpKSme9Q15b0fjIbjjqpg/f76RVOdyoW3btpm7777bhIeHm2uvvda8/vrrtbb16aefmu7du5uwsDDTs2dP8+WXX/pqN3AZHn300Trbe/Xq1Z4yBQUF5v777zeRkZGmdevWZsKECaaystJrO6tXrzZ9+vQxYWFhpnPnzmb+/Pm+3RFcsZkzZ5qOHTuasLAwc/vtt5uNGzf6u0q4AqtXr67zb/nRRx81xtgpIV955RXTrl07Ex4ebu69916Tn5/vtY0TJ06YESNGmKioKBMTE2NGjx7t+RKPwHGpz+kL33fPnDljnnrqKRMfH29atGhhhg0b5tUJZ0zD3tvROFzGGOPDDn4AAAAAV4Ax7gAAAIADENwBAAAAByC4AwAAAA5AcAcAAAAcgOAOAAAAOADBHQAAAHAAgjsAAADgAAR3AAAAwAEI7gAAAIADENwBAAAAByC4AwAAAA5AcAcAAAAcgOAOAEHu8ccfl8vlUvfu3etcf+jQIYWGhsrlcsnlcunUqVO1ypw+fVrx8fFyuVyaOnVqI9cYAIITwR0Aglx8fLwk1RnIJWnmzJmqqqryPC8uLq5V5i9/+YuKi4sVFhamJ598snEqCgBBjuAOAEEuLi5OklRWVlZrXXl5ud5//31JUrNmzSRJJ0+erFVu1qxZkqT09HQlJCQ0VlUBIKgR3AEgyLl73MvLy2WM8Vr34Ycf6uTJk0pOTlZSUpKk2sF9w4YN2rp1qyTp2Wef9UGNASA4EdwBIMi5e9yNMSovL/e8bozRu+++K0l67rnnFBMTI6l2cHf3tt91111KTk72RZUBICgR3AEgyLl73CXv4TLLly9Xfn6+2rdvr/T0dMXGxkryHuN+7Ngx/fWvf5VEbzsANDaCOwAEOXePu+QdfWF8BAAAA5VJREFU3N9++21J0lNPPaXQ0NA6e9zff/99VVRUKDExUcOGDau17c2bN2vw4MGKi4tTy5Ytdccdd+jTTz9trF0BgCatub8rAADwr7p63PPy8vT1118rIiLCM0uMu8fdHdzPnz+vefPmSZIyMzPVvLn3R8rq1auVlpamiIgIPfzww4qOjtaSJUuUnp6ugwcPasKECY2+bwDQlNDjDgBB7sIed/eUkO7e9lGjRql169aSVKvHfdmyZTp48KAiIyM1ZswYr21WVVVpzJgxCgkJ0bp16/Tee+/pjTfe0LZt29S9e3dNnjxZ+/fvb/R9A4CmhOAOAEHu4h7348ePa+HChZLsRaluF49xd1+U+sgjj6hVq1Ze21y1apV++OEHjRw5Un369PHaxuTJk1VRUaEPP/ywcXYIAJoogjsABLnw8HBFRERIssF97ty5Onv2rO6991716tXLU+7CHvf8/HytXLlSkvTMM8/U2uaaNWskSampqbXWpaWlSZLWrl17VfcDAJo6gjsAwNPrfuLECc2ePVuSd2+75D3Gffbs2TLGaNCgQerZs2et7e3Zs0eS1K1bt1rrEhISFBUV5SkDAGgYLk4FACguLk5HjhzRBx98oKKiInXr1k1DhgzxKuPucS8sLFReXp6kS08BWVJSIqkm7F8sJibGUwYA0DAEdwCAp8fdfQfUZ555Ri6Xy6uMO4QXFBRIkrp27arBgwf7rpIAEOQYKgMA8JpZJi4uTo899litMu4ed7enn35aISF1f4y4Q/6letVLS0sv2RsPAKgbwR0A4DWzTEZGhqKiomqVuTBox8TEaPTo0Zfcnntse13j2IuKinTq1Kk6x78DAC6N4A4A0EcffSRjjIwxmjFjRp1lkpKSPGVKSkoUHR19ye3dc889kqS///3vtdZ99dVXXmUAAA3jMsYYf1cCANC0VFVVKSkpSYWFhdq4caNnLveSkhLdfvvtKigoUH5+vm644Qb/VhQAHITgDgBoFKtXr1ZaWpoiIiL08MMPKzo6WkuWLNH+/fs1Y8YMTZgwwd9VBABHIbgDABrNt99+qylTpmjDhg2qrKxU79699cILLyg9Pd3fVQMAxyG4AwAAAA7AxakAAACAAxDcAQAAAAcguAMAAAAOQHAHAAAAHIDgDgAAADgAwR0AAABwAII7AAAA4AAEdwAAAMABCO4AAACAAxDcAQAAAAcguAMAAAAOQHAHAAAAHOD/AI9168nNGOZwAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/tx/pqtg9xkd5156pd7hbgdr_4140000gn/T/ipykernel_81609/1935938083.py:26: UserWarning: Matplotlib is currently using module://matplotlib_inline.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "  fig.show()\n"
     ]
    }
   ],
   "source": [
    "ax, fig = start_plot()\n",
    "radius = 15\n",
    "w = [100, 200]\n",
    "lim = 1.25 * max(w)\n",
    "\n",
    "start_loss, end_loss, num_iters = contours_and_trajectory(torch.tensor(w, dtype=torch.float32), optim=\"gradient\")\n",
    "plot_text(start_loss, end_loss, num_iters)\n",
    "show_plot(ax, fig, plt_title=r\"Gradient descent without momentum for loss $L(w_{0}, w_{1}) = w_{0}^{2} + w_{1}^{2}$ = k\",\n",
    "              x_label=r\"$w_{0}$\", y_label=r\"$w_{1}$\", lim=lim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6ddb5009",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter\tRadius\tLoss\n",
      "0\t223.61\t50000.00\n",
      "1\t134.16\t18000.00\n",
      "2\t80.50\t6480.00\n",
      "3\t30.41\t924.80\n",
      "4\t7.51\t56.45\n",
      "5\t5.51\t30.36\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/tx/pqtg9xkd5156pd7hbgdr_4140000gn/T/ipykernel_81609/1935938083.py:26: UserWarning: Matplotlib is currently using module://matplotlib_inline.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "  fig.show()\n"
     ]
    }
   ],
   "source": [
    "ax, fig = start_plot()\n",
    "radius = 15\n",
    "w = [100, 200]\n",
    "lim = 1.25 * max(w)\n",
    "\n",
    "start_loss, end_loss, num_iters = contours_and_trajectory(torch.tensor(w, dtype=torch.float32), optim=\"momentum\")\n",
    "plot_text(start_loss, end_loss, num_iters)\n",
    "\n",
    "show_plot(ax, fig, plt_title=r\"Gradient descent with momentum for loss $L(w_{0}, w_{1}) = w_{0}^{2} + w_{1}^{2}$ = k\",\n",
    "              x_label=r\"$w_{0}$\", y_label=r\"$w_{1}$\", lim=lim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b6a8da81",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter\tRadius\tLoss\n",
      "0\t223.61\t50000.00\n",
      "1\t89.44\t8000.00\n",
      "2\t35.78\t1280.00\n",
      "3\t52.77\t2784.80\n"
     ]
    },
    {
     "data": {
      "image/png": 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UlZXm7NmzAID9+/fj8OHDCss1NTURExOjUO7t7a1QZmNjAwBIT0+v8PZLo2r/Lly4gMLCQuTm5mLmzJkKy+/evQsAiImJgZ+fH1q1agUrKyssWLAAV69ehZ+fH1q3bo26devKTQ0UExODrKwsdOjQATVq1CgzZtm+TElJURqDbD/GxMTA3d1dKDcyMoK9vb1CfRsbG0RFRZW5zYq4cuUKAKB169YK0x6pqamhVatWiImJwZUrV1CrVi0AwKBBg7BlyxZs3LgRXl5eAIDMzEzs3r0bHh4eqF+/vtBGZY8hHx8fpfEGBgZix44daNKkCfr374/27dujZcuWMDU1VVrfyckJenp6cmUaGhqwsLCQOxZV3Q+V2W9lUbVfZfH09FSIx9zcHNnZ2QpfGJR9mbjk+aM8VfX8fj1OWTxxcXEKy9TV1WFubq4QZ15eHr7//nts3boVMTExePHiBYhIWK5KvwDl54+mTZtCQ0MDly9fFspUPa7Pnz8PAOjUqVOF4tixYwd+/PFHXLp0Cc+fP0dhYaGwTNU+vS4wMBCrVq2Cu7s7AgMD0bZtWzRt2hTa2tpy9Sr73H2dbL8pm8rU1tYWtWvXxp07d5CVlQV9ff1K9Ejemx7/ZcWrp6eHhg0b4sCBA4iNjYWHh4ewrEaNGqW2X6dOHYVZapRtW7bPY2Njlb5OJCcno6ioCHfu3EHDhg2F8oqe596Wquj728JJ9AfCwsICt2/fRmJiosI30mfOnCk8IbZu3YqgoKBS21AmLS0NPj4+SEhIQPPmzdGhQwcYGRlBXV0dV65cwa5du5CbmyvUz8jIAACYm5tXeBulbRcA5s6dW+F1AMDAwEChTEOj+FAu+WJQWar2T9aP06dP4/Tp06W2+/LlSwCAoaEhzp49i+nTp2P37t34+++/AQC1atXCpEmTEBYWJhdHRaYFlMWwd+9e7N27t9wYZAwNDZXW09DQQFFRUbnbLU9mZiaA0o8L2clOVg8oTgQsLCywdetWLFmyBOrq6ti+fTtycnIwaNAgufUrewyVFk+fPn3w119/YdmyZVizZg1++OEHiEQitG3bFkuXLlV4AVV2LALF+6/ksajqfqjMfiuLqv0qS2nPv7Kel/n5+W/cPqDa87usdkpb9nqcAQEB2L17N5ycnNCvXz+Ym5tDU1MT6enpWLFihdx5sSKUPZ7q6uowMTERnu+A6sd1RkYGRCJRhWZAWrp0KcaPHw8zMzN06tQJNjY2QoL77bffqtyn161YsQL29vZYv3495syZgzlz5kBLSwt9+/bF0qVLhTdulX3uvq4iz5U7d+4gMzOzSpLoNz3+K/vcrszx/Pq2Zft806ZNSrct8/rrREXPc29LVfT9beEk+gPRrFkzHDt2DEePHkW7du0q1UZpE6D/8ssvSEhIwDfffINp06bJLVuwYAF27dolVyZLvFJTUyGVSuWWpaSkVDge2cFfVSe3qqJq/2T9GDduHJYsWVKhbdja2iIiIgJFRUW4du0aDhw4gO+++w4jRoxAjRo1EBQUBCMjIwDA48ePy21PFsPKlSsxcuTICsXwLsjiKu24SE5OlqsHFCcVQUFB+Pbbb3Ho0CF07twZGzduhJqaGvr376+0fVWPobJuBuDv7w9/f39kZWXh9OnT2LFjB3755Rd06dIFMTExwuOiClX3Q2X2W3neRr8+ZhcuXMDu3bvRuXNn7N27F+rq6sKys2fPYsWKFSq3mZKSAmdnZ7mywsJCPHv2TC6pUvW4NjIyAhEhKSmpzDfdBQUF+Oabb2BlZYUrV67IXSggIixatEhhHTU1NWFdWXIiUzLxl9HQ0MD48eMxfvx4JCYm4vjx41i/fj1+/fVXJCcnY//+/ZXqY2nexnPlbarOeGVt7t69G35+flXefnlKHkuvU3YsfQj4joUfiODgYKipqeGnn37C06dPq7Tte/fuASh+kX3dyZMnFcpkH6crW6asrDSNGzcG8L+PmN4GNTU1ld8pq9o/Hx8fiESiSg1/UFNTg6enJyZOnIgtW7YAACIjIwEAzs7OMDAwwIULF/D8+fMy25Hty6oYglEaWRKhyv6UXeE8ceKE3MfgQPGL9okTJ+TqyciuOP/22294+PAhjh8/jrZt2yokCG/zGNLX10eXLl3w008/YciQIUhJScG5c+cq1Zaq+6Ey+62ij09V9utjJjsv+vr6yiXQgGrnufLWi4qKQkFBARo0aCCUqXpcN2rUCABw4MCBMus9ffoUGRkZaNq0qcInbdHR0UrvLyAbSvb6m/mioiJh6FtprK2tERQUhH/++QeOjo44dOiQsI2qeu7K9tuxY8cUlj18+BD37t1D7dq135sLNWXF+/LlS0RHR0NbW1vhzVZVqO7XidKOJQByw5k+JJxEfyCcnJwwceJEpKamomvXrvj333+V1qvM+CTZ1dZTp07JlW/evFkYalBS//79oa6ujmXLliE1NVUoz8zMxJw5cyq83bCwMGhoaGDUqFFISEhQWJ6env7GTyxjY2M8evRIpXVU7Z+lpSX69u2LM2fOYPHixQpJDwCcO3dOuEPbzZs3lV6FkJVpaWkBKL6i88UXXyAjIwPh4eEKJ6WMjAy8ePECQPGLaOPGjbFlyxZs27ZNoe2ioiIcP368ortAKWNjYwDFL0wVZWtri7Zt2+LmzZtYt26d3LKffvoJt2/fRrt27RTG9Xp5ecHV1RU7d+7Ejz/+CCJSGMoBVP0xdOLECaUnf9lxIHtsVKXqfqjMfivr8Xlb/fqYlXZevHnzJubPn1+pNlesWCF3PsrLy8PUqVMBAEOGDBHKVT2uhw0bBnV1dUybNg0PHjyQq0tEwthQc3NzaGtr49KlS3J3jHz+/DlGjRqlNGbZ9wciIiLkypctW4b79+/LleXm5uLMmTMKbbx8+RIvXryApqamcDWyqp67/v7+MDQ0xPr163Hz5k25fn/11VcoKCiQ27fVrXnz5nBwcMC+fftw6NAhuWVz5szBs2fPEBQUVOr3l96Ev78/bG1tsWzZMuGNeEn5+fkKx7uqyjoPOTs7Q19fH5GRkcLQEqD4tU+V3OF9wsM5PiBz585FXl4eli1bBhcXF7Rq1Qr169eHjo4OUlNTce3aNZw/fx56enoqjXEcNGgQFi5ciFGjRuHo0aOQSqW4evUqDh8+jF69emHHjh1y9R0dHTF9+nTMmDED9erVQ9++faGhoYE///wT9erVQ2xsbIW26+7ujlWrVmH48OFwdnZGt27d4ODggKysLMTFxeH48eMYMmQI1qxZo9J+Kqldu3b4/fff0bNnTzRo0ADq6uro0aMH6tWrV+o6lenfqlWrEBsbi4kTJ2Ljxo1o2rQpjIyM8PDhQ0RHR+Pu3btISkqCjo4ODh48iAkTJqB58+ZwcnKCiYkJ4uLiEBkZCS0tLYwYMUJod/bs2Th79iw2btyIs2fPomvXrpBIJIiLi8M///yDU6dOCY/1li1b0LZtWwQGBuLbb7+Fl5cXtLW1kZCQgKioKDx58gSvXr16o325ZMkSfP755+jduzd0dXUhlUqVJrclrV69Gi1atMDQoUOxe/duuLq64ubNm4iMjISZmRlWr16tdL1BgwZh8uTJWLRoEXR0dNC7d2+FOlV9DI0ePRqJiYlo0aIF7OzsIBKJcOrUKZw/fx5NmjRBixYtKtROVewHVeu3a9cO27dvR+/evdG1a1doaWmhfv366N69+1vt18eqUaNGaNSoEX7//XckJSWhSZMmSEhIQGRkJHx9fbF9+3aV22zSpAnq16+Pfv36QVdXF7t370ZsbCx69eold3yrelx7eHjg22+/xejRo+Hm5oaePXtCKpUiOTkZJ06cgK+vL7799luoqakhLCwMS5cuFY6NzMxM7Nu3D1KpVOkd/EJCQrBo0SLMnDkTV65cgYODA6Kjo3Hjxg20bt1a7s15Tk6OcF7z9vaGra0tXrx4gT179iA5ORnjx4+HRCKpVB9LY2BggLVr1yIoKAiNGzdGv379YGZmhkOHDuHixYto1KgRJkyYoPJj9baoqakhIiICnTt3Rrdu3dCnTx9IpVJERUXh2LFjcHBwwIIFC97KtiUSCbZv346uXbuidevWaNeuHTw8PCASifDgwQOcPHkSJiYmFfpCZ2nKOg+JxWKMGjUK8+bNg5eXlzC8bPfu3WjdurXw6c8H5a3P/8Gq3KVLl+jzzz8nFxcX0tPTI01NTbKwsKB27drR4sWLFe46VdrUMSVduXKFOnXqRDVq1CB9fX1q3bo1HTp0SO4uYq9bu3Ytubq6CnfGGj9+PGVnZ1d4ijuZ8+fPU2BgoHBXNlNTU/Ly8qJJkybJTelXmelxkpKSqG/fvmRqakpqamql9kUZVfpHVHxjlEWLFpG3tzfp6uqStrY22dvbU8+ePenXX38V5ri8desWhYeHU4MGDcjExIQkEgnVrl2bgoOD6ebNmwrtvnr1ipYsWUKenp6kra1Nenp65OrqSuPGjVO4QUBaWhpNmzaN3N3dhbp16tSh/v37044dO+Tqyu4EpUxp0xQtWrSI6tSpI0zppModC0NCQsjKyoo0NDTIysqKQkJCSr0zIVHxFEayxywoKKjM9qviGCIi2rp1K/Xt25ccHBxIR0eHDA0NqX79+rRw4UKFKZ7K6n9p+1bV/aBK/fz8fJo4cSLZ2tqShoaG3PNBlX6Vpqypq8o6lpTtp/LuWPi60h43Vc81qvYhNTVVuGOklpYWeXh40A8//EBxcXHlnlOVxXTv3j1asGABOTo6CncKnDlzZqlTj1b0uJY5evQo+fn5kbGxsXDe6t27N50+fVqok5eXR3PnzqU6deqQRCIhW1tbGjduHGVlZZX6OF65coXat29POjo6ZGBgQP7+/nT37l2FfZ2Xl0cLFy6kTp06kY2NDYnFYrKwsKBWrVrR5s2bFaZrrEwfS3PixAnq2rUrGRkZkVgsJicnJ/r666/l5nSWeZMp7pRR9fgnIrp27RoFBASQqakpaWpqklQqpfDwcIUbrVS2/bJe9x89ekTh4eHCMWBgYEB169alzz77TOFeFKqe58o6DxEVTwk4c+ZM4W6JTk5OtGLFilKfU1Xd96om+v9AGGOMMcYYYxXEY6IZY4wxxhhTESfRjDHGGGOMqYiTaMYYY4wxxlTESTRjjDHGGGMq4iSaMcYYY4wxFXESzRhjjDHGmIr4ZivvSFFRERITE6Gvrw+RSFTd4TDGGGOMsdcQEbKysmBtbS3cYbM0nES/I4mJiQq3NmaMMcYYY++fhw8fwsbGpsw6nES/I/r6+gCKHxQDA4NqjoYxxhhjjL0uMzMTtWrVEvK2snAS/Y7IhnAYGBhwEs0YY4wx9h6ryNBb/mIhY4wxxhhjKuIkmjHGGGOMMRVxEs0YY4wxxpiKOIlmjDHGGGNMRZxEM8YYY4wxpiJOohljjDHGGFMRJ9GMMcYYY4ypiJNoxhhjjDHGVMRJNGOMMcYYYyriJJoxxhhj753r168jICAAUqkUWlpaqFmzJjp27IiVK1fK1Zs3bx7++uuvtxLDmTNnMHPmTKSnp1eo/pAhQ6Cnp/dWYnkX7OzsIBKJFH6GDRumUDc9PR2ff/45zMzMoKuri7Zt2+LSpUtK242MjISXlxe0tLRga2uLGTNmoKCg4J20qUxRUREWLVoEe3t7aGlpoV69etiyZUuF1i2Jb/vNGGOMsffKmTNn0LZtW9ja2mLo0KGwtLTEw4cPcfbsWaxYsQKjRo0S6s6bNw8BAQHo2bPnW4lj1qxZGDJkCIyMjKq8/feRp6cnxo0bJ1fm5OQk93dRURF8fX1x9epVTJgwAaampli1ahXatGmDixcvok6dOkLdffv2oWfPnmjTpg1WrlyJ69evY86cOUhNTcXq1avfapulmTp1KhYsWIChQ4fCx8cHu3btQv/+/SESidCtW7eK7yxi70RGRgYBoIyMjOoOhTHGGHuvdevWjczMzOj58+cKy1JSUuT+1tXVpeDg4Crd/osXL4iIaPHixQSA7t+/X6H1goODSVdXt0pjeZekUin5+vqWW2/btm0EgP744w+hLDU1lYyMjCgoKEiurqurK9WvX5/y8/OFsqlTp5JIJKLbt2+/1TaVefToEWlqatKIESOEsqKiImrZsjulZ+sAACAASURBVCXZ2NhQWlpahfM1Hs7BGGOMsffKvXv34ObmpvTqr7m5ufC7SCTCy5cvsWHDBmHowZAhQwAADx48QFhYGJydnaGtrQ0TExP06dMH8fHxcu1FRERAJBLh+PHjCAsLg7m5OWxsbDBz5kxMmDABAGBvby+0//r6lfHHH3/A29sb2traMDU1xcCBA/H48WO5OsnJyQgJCYGNjQ0kEgmsrKzg7+8vt/3o6Gh07twZpqam0NbWhr29PUJDQ+XaSUpKQkxMDPLz8yscX15eHl6+fFnq8u3bt8PCwgK9evUSyszMzNC3b1/s2rULubm5AIBbt27h1q1b+Pzzz6Gh8b/BD2FhYSAibN++/a22qcyuXbuQn5+PsLAwoUwkEmH48OF49OgRzp8/X97uEfBwDsYYY4y9V6RSKaKionDjxg24u7uXWm/jxo347LPP0KhRI3z++ecAAAcHBwDAhQsXcObMGQQGBsLGxgbx8fFYvXo12rRpg1u3bkFHR0eurbCwMJiZmWH69Ol4+fIlunbtijt37mDLli1Yvnw5TE1NARQndm8iIiICISEh8PHxwfz585GSkoIVK1bg9OnTuHz5svDGoXfv3rh58yZGjRoFOzs7pKam4uDBg0hISBD+7tSpE8zMzDBp0iQYGRkhPj4eO3bskNve5MmTsWHDBty/fx92dnblxnfkyBHo6OigsLAQUqkUY8eORXh4uFydy5cvw8vLC2pq8tdiGzVqhJ9++gl37tyBh4cHLl++DABo2LChXD1ra2vY2NgIy99Wm8pcvnwZurq6qFu3rsJ2AODatWtlrl8SJ9GMMcYYe6+MHz8eXbt2haenJxo1aoSWLVuiffv2aNu2LTQ1NYV6AwcOxLBhw1C7dm0MHDhQrg1fX18EBATIlXXv3h1NmzbFn3/+iUGDBsktMzY2xuHDh6Guri6UeXl5YcuWLejZs2eFEtDy5Ofn46uvvoK7uztOnDgBLS0tAECLFi3g5+eH5cuXY9asWUhPT8eZM2ewePFijB8/Xlh/8uTJwu9nzpzB8+fPceDAAbmEcs6cOZWOr169emjRogWcnZ3x7NkzREREYMyYMUhMTMTChQuFeklJSWjVqpXC+lZWVgCAxMREeHh4ICkpSa789bqJiYlvtU1lkpKSYGFhAZFIpHQ7svYrgodzMMYYY+y90rFjR0RFRaFHjx64evUqFi1ahM6dO6NmzZqIjIysUBva2trC7/n5+Xj27BkcHR1hZGSkdMaHoUOHyiXQb0N0dDRSU1MRFhYmJNBAccLv4uKCvXv3CrGLxWIcO3YMz58/V9qW7Ir1nj17yhyqERERASKq0JuAyMhITJw4Ef7+/ggNDcXx48fRuXNnLFu2DI8ePRLq5eTkQCKRKKwv61NOTo7c/6XVlS1/W20qU952Xr16Veb6JXESzRhjjLH3jo+PD3bs2IHnz5/j/PnzmDx5MrKyshAQEIBbt26Vu35OTg6mT5+OWrVqQSKRwNTUFGZmZkhPT0dGRoZCfXt7+7fRDTkPHjwAADg7Oyssc3FxEZZLJBIsXLgQ+/btg4WFBVq1aoVFixYhOTlZqN+6dWv07t0bs2bNgqmpKfz9/bF+/Xph7HBVEIlEGDt2LAoKCnDs2DGhXFtbW+l2ZAmo7A2M7P/S6pZ8o/M22lSmvO2UfHNTHk6iGWOMMfbeEovF8PHxwbx587B69Wrk5+fjjz/+KHe9UaNGYe7cuejbty9+//13HDhwAAcPHoSJiQmKiooU6peXfL1rY8aMwZ07dzB//nxoaWnh66+/Rt26dYUxvyKRCNu3b0dUVBRGjhyJx48fIzQ0FN7e3njx4kWVxVGrVi0AQFpamlBmZWWldNiDrMza2lqoV7L89bqyem+rTWWsrKyQnJwMIlK6HWXDRErDSTRjjDHGPgiysb8lE6jXx7bKbN++HcHBwVi6dCkCAgLQsWNHtGjRosI3Timr7cqSSqUAgNjYWIVlsbGxwnIZBwcHjBs3DgcOHMCNGzeQl5eHpUuXytVp0qQJ5s6di+joaGzatAk3b97E1q1bqyzmuLg4APJfqPT09MSlS5cU3oycO3cOOjo6wrzSnp6eAIqHsZSUmJiIR48eCcvfVpvKeHp6Ijs7G7dv31bYDgB4eHiUuX5JnEQzxhhj7L1y9OhRhSuFAPD3338DkB8OoaurqzQxVldXV2hj5cqVKCwsrHAcurq6AKBS4l2Whg0bwtzcHGvWrJEbUrBv3z7cvn0bvr6+AIDs7GyFsbkODg7Q19cX1nv+/LlC/2QJZMm2KzrFXVpamsK+yc/Px4IFCyAWi9G2bVuhPCAgACkpKXIzgTx9+hR//PEHunfvLow5dnNzg4uLC3766Se5tlevXg2RSCT3xc+30WZGRgZiYmLkhu/4+/tDU1MTq1atEsqICGvWrEHNmjXRuHHjMvdTSTw7B2OMMcbeK6NGjUJ2djY++eQTuLi4IC8vD2fOnMG2bdtgZ2eHkJAQoa63tzcOHTqEZcuWwdraGvb29mjcuDH8/PywceNGGBoawtXVFVFRUTh06BBMTEwqHIe3tzeA4jvcBQYGQlNTE927dxeSa2Xy8/OVzpBhbGyMsLAwLFy4ECEhIWjdujWCgoKEKe7s7OwwduxYAMCdO3fQvn179O3bF66urtDQ0MDOnTuRkpKCwMBAAMCGDRuwatUqfPLJJ3BwcEBWVhbWrl0LAwMDubvuVXSKu8jISMyZMwcBAQGwt7dHWloaNm/ejBs3bmDevHmwtLQU6gYEBKBJkyYICQnBrVu3hLsLFhYWYtasWXLtLl68GD169ECnTp0QGBiIGzdu4Pvvv8dnn30mN83c22hz586dCAkJwfr164X5w21sbDBmzBgsXrwY+fn58PHxwV9//YWTJ09i06ZNqn25tNzbsbAqwXcsZIwxxipm3759FBoaSi4uLqSnp0disZgcHR1p1KhRCncsjImJoVatWpG2tjYBEO5e+Pz5cwoJCSFTU1PS09Ojzp07U0xMDEmlUrk7HK5fv54A0IULF5TG8s0331DNmjVJTU2t3LsXBgcHEwClPw4ODkK9bdu2UYMGDUgikZCxsTENGDCAHj16JCx/+vQpjRgxglxcXEhXV5cMDQ2pcePG9Pvvvwt1Ll26REFBQWRra0sSiYTMzc3Jz8+PoqOjlcZU3l0Xo6OjqXv37lSzZk0Si8Wkp6dHLVq0kNtmSWlpafTpp5+SiYkJ6ejoUOvWrUvdhzt37iRPT0+SSCRkY2ND06ZNo7y8vLfepuyxXb9+vVx5YWEhzZs3j6RSKYnFYnJzc6PffvuNiFTL10RESj4vYVUuMzMThoaGyMjIgIGBQXWHwxhjjDHGXqNKvsZjohljjDHGGFMRJ9GMMcYYY4ypiJNoxhhjjDHGVMRJNGOMMcYYYyriJJoxxhhjjDEV8TzRjDH2H1dQVIAXeS+QlZtV/H9eltzv2fnZKCwqRBEVoYiKUEj/+52IoCZSE37U1dSF3zXVNKEv0YeeWA/6Yn253/XEetDR1KnyO8Ixxti7wkk0Y4x9RHILcpH8IhlJL5KQlJWExKxE4ffkl8lIf5UuJMxZecWJ8quCV2W2KYIIGmoacsmy7AcACCQk1SV/CooKymxXTaQGPbGeXGKtL9GHqY4prPSsYKVnBWt9a1jp/+93Y21jTrwZY+8FTqIZY+wDkVeYh7jncbjz7A7i0+ORlJVUnCC/+P9kOSsJz3Keya2joaZRnJDqW8FSzxJ1jOvIJazKrhK//rtEXVKpxLWwqBAv81+WeoW75O8lE/sn2U9w+8ltJGYl4vmr53JtitXFsNSzLE6u/z/RttK3Qk39mnA0doSTiRPMdc050WaMvXWcRDPG2HukiIrwKPMR7jy7o/BzP/0+iqgIACBRlwhXaK30rdBG2kbuiq3sdxMdE+GK8bumrqYOA4kBDCSVv8HUq4JXSH6RLLxJEK6wvyj++9TDU0jMSsTT7KfCOgYSAziZOBX/GDsJv9cxqfNGsTDGWEl8x8J3hO9YyBgrqaCoALee3MLlpMuIfRYrJMp30+4Kwys01TRRu0bt/yWEJX6s9Kz4amsJrwpe4V7aPfk3HmnF/6e+TBXqWepZyiXXbuZu8LbyhoWeRTVGzxh7X6iSr3ES/Y5wEs3Yf1d+YT5uPrmJS0mXcDHxIi4mXcTVlKtCsmxraKtw1dTJxAlSIyk01PgDwzeV8SoDd9PuKr26n5WXBQCoqV8T3tbe8LbyhpeVF7ytvGGlb1XNkbN3YciQITh27Bji4+OrOxT2HlAlX+OzM2OMVaG8wjzcTL2Ji0kXhYT5Wso15BbmQgQRXExd4G3tjUD3QHhbecPT0hP6Ev3qDvujZqhliIbWDdHQuqFcOREhPj1e7rFacW4F0nLSAABWelZCYi1Lrq31rfkTgHcgIiICISEhpS6PiopCkyZN3mFEQJs2bfD06VPcuHHjnW63Kjx8+BDr1q3D3r17cffuXairq8Pd3R3Tpk1Dhw4d5Oq2adMGx48fV9qOhoYG8vPzhb9fvXqF5cuXY+PGjYiPj0eNGjXQrFkzzJw5E25ubqXGM3ToUPz888/w9fXFnj17KtSH33//HcuWLUNMTIwQ/8SJE+Hr61uh9d8GTqIZY+wNpOWk4cSDEzgWfwynH57GtZRryCvMg5pIDXVN68Lb2hsD6w2El5UXPC09oSfWq+6Q2f8TiUSwr2EP+xr2CHANAFCcWD/IeCD3qcEPF34Qxlxb6FqgUc1GaC1tjTZ2beBp6Ql1NfXq7MZHbfbs2bC3t1cod3R0rIZoPly7du3CwoUL0bNnTwQHB6OgoAC//vorOnbsiHXr1sm9YZk6dSo+++wzufVfvnyJYcOGoVOnTnLlAwYMQGRkJIYOHQovLy8kJibihx9+QNOmTXH9+nVIpVKFWKKjoxEREQEtLa0Kx79y5UqMHj0avr6+WLBgAV69eoWIiAj4+fnhzz//RK9evVTcI1WDh3O8Izycg7GPQ8mk+Vj8MVxLuQYCwd7IHi2lLdHQqiG8rb1R36I+dMW61R0uqwJEhIeZD4Wk+uyjszjz8AxyCnJgIDFAS9uWaGPXRkiqeQjOm5Ndib5w4QIaNmxY/gpvoKLDOT7kK9E3b96EhYUFTE1NhbLc3Fx4enrixYsXePjwYZnr//bbbxg0aBA2bdqE/v37AwAeP34MGxsbjB8/HosXLxbqHj16FO3atcOyZcswduxYuXaICM2bN0fdunVx+PBhuLu7V+hKtJOTE4yMjHDu3Dnhk6DMzEzUrFkT7dq1w65duyq8L8qjSr7GdyxkjLEyPMt+hp23dyJ8Xzjqr6kPk0Um+GTbJ4iMjYSXlRciekYgPjweceFx2NBzA0Y1HoVmtZpxAv0REYlEsDW0xSd1P8GcdnNwaPAhpE9Kx6mQU5jYbCJyC3Mx/eh0+Kz1gckiE/ht9sOSM0sQnRhd7lzZ7M3Ex8dDJBJhyZIl+Omnn+Dg4ACJRAIfHx9cuHBBof5ff/0Fd3d3aGlpwd3dHTt37qzymFatWgU3NzdIJBJYW1tjxIgRSE9Pl6tz9+5d9O7dG5aWltDS0oKNjQ0CAwORkZEh1Dl48CBatGgBIyMj6OnpwdnZGVOmTJFrJyEhATExMeXG5ObmJpdAA4BEIkG3bt3w6NEjZGVllbn+5s2boaurC39/f6FMto6FhfyXcq2sir9LoK2trdDOxo0bcePGDcydO7fcmEvKzMyEubn81JUGBgbQ09NTup13hd8uM8ZYCTn5OThy/wgO3DuAYw+KrzQDgL2RPdrYtcG4puPQWtoaUiPFjynZf4dYXYzmts3R3LY5pmIq8grzcOHxheJPKB4cw/Sj0+WuVLe1awtfJ184mzjzmGoVZGRk4OnTp3JlIpEIJiYmcmWbN29GVlYWvvjiC4hEIixatAi9evVCXFwcNDU1AQAHDhxA79694erqivnz5+PZs2cICQmBjY1NlcU7c+ZMzJo1Cx06dMDw4cMRGxuL1atX48KFCzh9+jQ0NTWRl5eHzp07Izc3F6NGjYKlpSUeP36MPXv2ID09HYaGhrh58yb8/PxQr149zJ49GxKJBP/++y9Onz4tt73Bgwfj+PHjqOygguTkZOjo6EBHR6fUOk+ePMHBgwfRr18/6Or+7+KAg4MDbGxssHTpUjg7O6NBgwZITEzExIkTYW9vj8DAQLl2srKy8NVXX2HKlCmwtLRUKc42bdpg+/btWLlyJbp3745Xr15h5cqVyMjIQHh4uGqdrkrE3omMjAwCQBkZGdUdCmPsNUlZSfTzxZ+px5YepDNXhzATZPetHYX8FUIbrmyg+Ofx1R0i+8DkFuTS6YTTNPfEXOr4a0fSnqNNmAly/M6Rxv4zlo7EHaG8grzqDvO9tX79egKg9EcikQj17t+/TwDIxMSE0tLShPJdu3YRANq9e7dQ5unpSVZWVpSeni6UHThwgACQVCotN6bWrVuTm5tbqctTU1NJLBZTp06dqLCwUCj//vvvCQCtW7eOiIguX75MAOiPP/4ota3ly5cTAHry5Em5MVU2lbt79y5paWnRoEGDyqy3cuVKAkB///23wrJz586Rg4OD3OPj7e1NSUlJCnXHjx9P9vb29OrVKyIikkql5OvrW6FYU1JSqH379nLbMTU1pTNnzlRofVWokq/xlWjG2H8OEeF66nXsjt2NyDuROP/4PNREamhWqxlmtJ6B7k7d4WLqwlcMWaWJ1cVoVqsZmtVqhiktpyAnPweH7x/G7tjd2HZzG5afXQ4jLSN0deyK7k7d0bVOVxhpGVV32O+dH374AU5OTnJl6uqKX+Ts168fatSoIfzdsmVLAEBcXBwAICkpCVeuXMGkSZNgaGgo1OvYsSNcXV3x8uXLN4710KFDyMvLw5gxY6Cm9r/RskOHDsWUKVOwd+9ehISECNvfv38/unXrpvQqsJFR8bGwa9cuhISEyLVX0rFjxyoVa3Z2Nvr06QNtbW0sWLCgzLqbN2+GmZkZOnbsqLCsRo0a8PT0RJ8+fdCkSRP8+++/mD9/Pvr06YODBw8KXx68c+cOVqxYgS1btkAikagcr46ODpydnWFjYwM/Pz9kZWVh+fLl6NWrF06ePFltXzTlJJox9p+QW5CL4w+OIzI2Ervv7EZCRgL0xHro4tgFI3xGoFudbjDVMS2/IcYqQVtTG35OfvBz8kMRFeFy0mXhWNxyYws01DTQ0rYlujt1R3fn7nA05tknAKBRo0YV+mKhra2t3N+yhPr58+Lbxj948AAAUKdOHYV1nZ2dcenSpTcNVdiGs7OzXLlYLEbt2rWF5fb29vjyyy+xbNkybNq0CS1btkSPHj0wcOBAIcHu168ffv75Z3z22WeYNGkS2rdvj169eiEgIKDUhLqiCgsLERgYiFu3bmHfvn2wtrYutW5cXByioqIwcuRIaGjIp4wZGRlo2bIlJkyYgHHjxgnlDRs2RJs2bbB+/XoMHz4cABAeHo5mzZqhd+/elYq5T58+0NDQwO7du4Uyf39/1KlTB1OnTsW2bdsq1e6b4i8WMsY+Wtn52dh6YysCfg+A6WJTdP6tM3bf2Y0eTj2wf+B+PJ3wFH/0+QOD6w/mBJq9M2oiNXhbe2NW21m49MUlJIxJwHddvoOWhhYmH56MOivrwPUHV0w6NAlXk69Werzrf4myq9MA3tt9t3TpUly7dg1TpkxBTk4ORo8eDTc3Nzx69AhA8ZfyTpw4gUOHDmHQoEG4du0a+vXrh44dO6KwsPCNtj106FDs2bMHERERaNeuXZl1N2/eDKB4KrvX/fnnn0hJSUGPHj3kylu3bg0DAwNh/PaRI0fwzz//IDw8HPHx8cJPQUEBcnJyEB8fj8zMzFJjiIuLwz///KOwHWNjY7Ro0UJhnPi7xEk0Y+yjUlBUgP3/7sfgnYNhscQCQX8GISEjAZOaT8LVYVcRHx6Pld1WopNDJ0g0VP9YkbGqVsuwFob7DMffA/7G04lPsaPvDjSxaYKfL/0Mzx894bHaA/NPzseD9AfVHeoHSzZf8d27dxWWxcbGVuk2Xm8vLy8P9+/fV5gz2cPDA9OmTcOJEydw8uRJPH78GGvWrBGWq6mpoX379li2bBlu3bqFuXPn4siRIzh69GilY5wwYQLWr1+P5cuXIygoqNz6mzdvhoODg9Ib26SkpACAQlJPRCgsLERBQfHMNAkJCQCAXr16wd7eXvh5/Pgxjhw5Ant7e6xbt67UGErbDgDk5+cL26kOnEQzxj54RITzj88jfF84bJbZoMumLjj/+DwmNpuIf0f9i/NDz2Nqq6moZ1GPxzmz95qeWA+f1P0E6/zXIWlcEvYE7UE9i3r45sQ3sFthh5brW2JN9Bo8y35W3aF+UKysrODp6YkNGzYoTCN369atKtlGhw4dIBaL8d1338ldAf/ll1+QkZEh3FkvMzNTIfHz8PCAmpoacnNzAQBpaWkK7Xt6egKAUAeo+BR3ALB48WIsWbIEU6ZMqdCMFpcvX8bt27eFeaFfJxurvnXrVrnyyMhIvHz5Eg0aNAAAtGvXDjt37lT4MTMzQ8OGDbFz5050795dWP/evXu4d++e8LejoyPU1NSwbds2uf366NEjnDx5UthOdeAx0YyxD9bdZ3ex6fombL6+GXfT7sJSzxJB7kEYUG8AvK28OWFmHzRNdU34OvnC18kXL/Je4K+Yv7Dp+iaM/HskRu8bjS6OXTDAYwC6O3eHjmbpU5R9yPbt26c0SWzWrBlq166tUlvz58+Hr68vWrRogdDQUKSlpWHlypVwc3PDixcvKtTGkydPMGfOHIVye3t7DBgwAJMnT8asWbPQpUsX9OjRA7GxsVi1ahV8fHwwcOBAAMXDG0aOHIk+ffrAyckJBQUF2LhxI9TV1YUxw7Nnz8aJEyfg6+sLqVSK1NRUrFq1CjY2NmjRooWw3YpOcbdz505MnDgRderUQd26dfHbb7/JLe/YsaPCfM+bNm0CoHwoBwB0794dbm5umD17Nh48eCB8sfD777+HlZUVPv30UwDF49VfH7MOAGPGjIGFhQV69uwpV96+fXsAEG5+Y2ZmhtDQUPz888/C2PCsrCysWrUKOTk5mDx5cpl9f6uqfG4QphRPccdY1UjOSqYVZ1dQo7WNCDNB+vP0KXhnMB349wAVFBZUd3iMvXWvPwf05ul9dM+Bsqa4A0Dr168nov9Ncbd48WKFNgDQjBkz5Mr+/PNPqlu3LkkkEnJ1daUdO3ZQcHBwhae4Ky2e9u3bC/W+//57cnFxIU1NTbKwsKDhw4fT8+fPheVxcXEUGhpKDg4OpKWlRcbGxtS2bVs6dOiQUOfw4cPk7+9P1tbWJBaLydramoKCgujOnTtKYyrPjBkzytyfR48elatfWFhINWvWJC8vrzLbTUtLo7Fjx5KTkxNJJBIyNTWlwMBAiouLKzem0qa4k0qlCo9Hfn4+rVy5kjw9PUlPT4/09PSobdu2dOTIkXK3oypV8jW+7fc7wrf9ZqzyiqgIh+MOY3X0akTGRkJNpIaudboWX4Vz6g5tzeq7YxVj1enus7vYfH0zNl3fhLtpd1FTvyaGeg3FUO+hsNYvfdYFxphyquRrnES/I5xEM6a6tJw0RFyJwJroNbibdhfu5u4Y5j0MQR5BMNY2ru7wGHtvEBGiE6Px86Wfsen6JrwqeIWeLj0xvOFwtLNvx0ObGKsgTqLfQ5xEM1YxRIQLiRewOno1tt7YisKiQgS4BiDMJwzNazXnZICxcmS8ysDGaxuxOno1bj25BWcTZwxrOAzB9YNRQ7tG+Q0w9h/GSfR7iJNoxsqWnZ+NLde3YFX0KlxKugSpoRTDGg5DaINQmOuaV3d4jH1wiAgnE05i1YVV2HF7BzTUNBDkHoThPsPR0Lr8G5gw9l/ESfR7iJNoxpSLeRqDNdFrEHElApm5mehapyvCGoahi2MXqKspv4ECY0w1yS+S8culX/DjxR/xMPMhfKx9MLzhcPRz7/fRzuzBWGVwEv0e4iSasf8hIhy5fwQLTy/EwbiDMNUxxacNPsUX3l/AvoZ9dYfH2EersKgQe+/uxero1dj/734YaRlheMPhCG8Szp/4MAZOot9LnEQzVvwC/lfMX1hwegGiE6PRwLIBxjUdhwDXAL57IGPv2L20e1h1YRV+vPgjCqkQoZ6hGN9svNI3soVFhTiZcBJJWUmw0rdCS9uW/EkR+yipkq999HcsnD9/Pnx8fKCvrw9zc3P07NlT4Zacr169wogRI2BiYgI9PT307t1buM2kTEJCAnx9faGjowNzc3NMmDChWm81ydiHJK8wD+sur4PbKjcE/BEAfbE+9g/cj4ufX8SAegM4gWasGjgYO2Bp56VIGJuAqS2n4vdbv6POyjoYsGMArqdcF+rtuL0Ddivs0HZDW/Tf0R9tN7SF3Qo77Li9oxqjZ6z6ffRXort06YLAwED4+PigoKAAU6ZMwY0bN3Dr1i3o6uoCAIYPH469e/ciIiIChoaGGDlyJNTU1HD69GkAxfdr9/T0hKWlJRYvXoykpCQMHjwYQ4cOxbx58yoUB1+JZv9FL/Je4KeLP2FZ1DI8znqMni498VXzr9DEpkl1h8YYe012fjZ+ufQLlkQtQUJGAnzr+KKpTVN8ffRrEORTBRGKZ8nZ3nc7etXtVR3hMvZW8HCOMjx58gTm5uY4fvw4WrVqhYyMDJiZmWHz5s0ICAgAAMTExKBu3bqIiopCkyZNsG/fPvj5+SExMVG4LeaaNWvw1Vdf4cmTJxCLxeVul5No9l/yNPspVp5biZXnVyIrLwsD6w3ExGYTUdesbnWHxhgrR35hPrbe2IoFpxbg1tNbpdYTQQQbAxvcD7/PQzvYR4OHc5QhIyMDAGBsXHyjhosXLyI/Px8dOnQQ6ri4uMDW1hZRUVEAgKioKHh4eMjdV75z587IzMzEzZs3lW4nNzcXmZmZcj+MfewSUbhlxAAAIABJREFUMhIQvi8ctsttsSRqCYLrByNudBzW+6/nBJqxD4SmuiYG1R+Eld1WllmPQHiY+RAnE06+o8gYe7/8p5LooqIijBkzBs2bN4e7uzsAIDk5GWKxGEZGRnJ1LSwskJycLNQpmUDLlsuWKTN//nwYGhoKP7Vq1arq7jD23kh5kYJRf4+C43eO+O36b5jYfCISxiRgeZflqGXIxz5jH6KUFynlVwKQlJVU5duOiIiASCSClpYWHj9+rLC8TZs2wuv4+8LOzg5+fn7C39nZ2Zg5cyaOHTtWfUGpYOfOnejcuTOsra0hkUhgY2ODgIAA3Lhxo7pDe29pVHcA79KIESNw48YNnDp16q1va/Lkyfjyyy+FvzMzMzmRZh+djFcZWHJmCZafXQ5NdU3MbjsbIxuNhJ5Yr7pDY4y9ISt9qwrVs9SzfGsx5ObmYsGCBVi5suyr4u+j7OxszJo1C0Bx0v++u379OmrUqIHw8HCYmpoiOTkZ69atQ6NGjRAVFYX69etXd4jvnf9MEj1y5Ejs2bMHJ06cgI2NjVBuaWmJvLw8pKeny12NTklJgaWlpVDn/Pnzcu3JZu+Q1XmdRCKBRMIzDrCPU05+Dn648APmn5qPnPwchDcOx8TmE/mWwox9RFratoSNgQ0eZz5W+GJhSbOOz4K2pvZb+cKwp6cn1q5di8mTJ8Pa2rrK2/8QvXz5UpgYoSpNnz5doeyzzz6DjY0NVq9ejTVr1lT5Nj90H/1wDiLCyJEjsXPnThw5cgT29vLzX3p7e0NTUxOHDx8WymJjY5GQkICmTZsCAJo2bYrr168jNTVVqHPw4EEYGBjA1dX13XSEsfdAQVEBfr70M+qsrINJhyahr2tf/Dv6X8zvMJ8TaMY+Mupq6ljRZUVxAv1aDi36/3+Tmk/Cs5xnaPpLU3yy7RPcTFX+PaHKmjJlCgoLC7FgwYIy68XHx0MkEiEiIkJhmUgkwsyZM4W/Z86cCZFIhDt37mDgwIEwNDSEmZkZvv76axARHj58CH9/fxgYGMDS0hJLly5VOe74+HiYmZkBAGbNmgWRSKQQR0xMDAICAmBsbAwtLS00bNgQkZGRcu3IhrUcP34cYWFhMDc3Fy4EZmVlYcyYMbCzs4NEIoG5uTk6duyIS5cuCetnZ2cjJiYGT58+VbkPAGBubg4dHR2kp6dXav2P3UefRI8YMQK//fYbNm/eDH19fSQnJyM5ORk5OTkAAENDQ3z66af48ssvcfToUVy8eBEhISFo2rQpmjQpflfdqVMnuLq6YtCgQbh69Sr279+PadOmYcSIEXy1mf0nEBG239oO91XuGLp7KFpKW+L2iNtY7bca1vp8dYixj1Wvur2AbQBe+268jYENtvfdjvkd5uPKF1ew8ZONuPJ/7N11XJXn/8fx1wHEViwEbKeiInZO7NmKqNjdMzY3dc7aXDh1xmyxu8BO7JqtOLtnCyZIKX3//jhf+c2pEwTOdeLz3OM8xAPnPm94OM6bD9d93Y/PUXJOSbpu6sq9l/eS5fkLFChA586dmT9/Pv7+/slyzDfatGlDXFwc48ePp1KlSowZM4apU6dSt25dcuXKxe+//06hQoUYMmQIhw8fTtSxc+TIgZeXFwDNmzdn+fLlLF++nBYt9NsBXr58mcqVK3P16lWGDRvG5MmTSZ8+PR4eHmzcuPGd4/Xr148rV67w448/MmzYMAC+/PJLvLy8aNmyJbNnz2bIkCGkTZuWq1evxj/u1KlTFCtWjJkzZyY4+8uXL3n27BkXL16kZ8+ehISEUKdOnUR9/hZDM3Pof35+57Z48eL4j3n9+rXWr18/LUuWLFq6dOm05s2bawEBAW8d5+7du1rDhg21tGnTatmzZ9cGDx6sRUdHJzhHcHCwBmjBwcHJ9akJYRB7/t6jlZtbTuMntIYrGmpn/c+qjiSEMJCtW7dqgObg5KAduHNAW3VhlXbgzgEtJjbmnY+NjInUZp6cqdlPtNdsf7XVBvoO1J6EPfmk5128eLEGaKdPn9b+/vtvzcbGRvv666/j31+jRg3NxcUl/u937tx557X9DUAbPXp0/N9Hjx6tAVrv3r3j74uJidFy586t6XQ6bfz48fH3BwUFaWnTptW6dOny0cz58uXTGjduHP/3Z8+evfPcb9SpU0dzdXXVIiIi4u+Li4vTPv/8c61w4cLvfB3c3Ny0mJi3v+aZM2fW+vfv/5+ZDhw48MEMH+Ls7BzflTJkyKCNGjVKi42NTfDjTV1i+prZr4nWErANdpo0aZg1axazZs364Mfky5ePHTt2JGc0IYza5aeX+WbXN+y9vZcquatwsMtBauSvoTqWEMKAmjZtCsDJ4yfJmzfvf36srbUt/Sv2p0vpLkw7MY0Jxyaw8K+FDHcbzuAqgz/5yqQFCxakU6dOzJs3j2HDhuHomLATHj+mZ8+e8W9bW1tTvnx5Hj58SI8ePeLvt7Ozw9nZmdu3byfLcwIEBgayf/9+fvnlF0JDQwkNDY1/X/369Rk9ejSPHj0iV65c8ff36tULa+u39+K2s7Pj5MmT+Pv7f3C9eM2aNRPUg/5p8eLFhISEcPv2bRYvXszr16+JjY3FysrsFy8kmnxFhBBvCY4IZtCuQZSaU4p7L++xqc0mjnY/KgVaCAvzZn1unjx5Plqg/ymDbQZGVh/J7a9v06tsL0YfHE0JrxLsuPnpg6hRo0YRExPz0bXRifHvzylz5sykSZOG7Nmzv3N/UFBQsj3vrVu30DSNH374gRw5crx1Gz16NMBb52AB75zPBTBhwgQuXbpEnjx5qFixIj/99FOylP0qVapQv359+vbty65du1ixYgXDhw9P8nHNkZRoIQQAcVocy84vw3mmM3P95jKm9hgu9r1Is6LN0Ol0quMJIQxI0zSaNWsGwLFjxz7pGNnSZeOP+n9w/svz5Mucj8arGuO+2p3bQYkvegULFqRjx47MmzePgIB396X+0Peo2NjYDx7z35PdD90HCfutdkLFxcUBMGTIEPbs2fPeW6FChd56TNq0ad85TuvWrbl9+zYzZszAycmJiRMn4uLigq+vb7JlzZIlC7Vr12blypXJdkxzYvbLOYQQH3fu8Tn67+jPsQfHaOPShkn1JpE7U+6PP1AIYZY2bdoE6C8g8s9tYT9F8RzF2dNpD+uvrmfQrkEUn1Wc76t+z/du35MuVboEH2fUqFGsWLGC33///Z33Zcmi3x3o37tI3LuXPCc4fooPFfuCBQsCkCpVqreulvwpHB0d6devH/369ePp06eULVuW3377jYYNGybpuP/0+vXr+Ks9i7fJJFoICxb4OpD+2/tTbl45giOC2d95P2s810iBFsKCaZoWv4tEcl2cTKfT4Vnck6v9rzLk8yGMPzqe4rOKs/HqxgRPeT/77DM6duzI3Llz37lacKZMmciePfs7u2jMnj07WfJ/inTp9D8g/LvY29vbU7NmTebOnfveqfqzZ88+euzY2Nh3iq29vT1OTk5ERkbG35eYLe7+vYQE9Fv17du3j/Lly3/08ZZIJtFCWKDYuFgW/bWI4fuGEx0XzeR6k+lfoT+prFOpjiaEUGzDhg2AvrT+8+S25JDeNj1jao+ha+muDNw5kBY+Laj3WT2mN5iOc3bnjz5+5MiRLF++nOvXr+Pi4vLW+3r27Mn48ePp2bMn5cuX5/Dhw9y4cSNZ8ydG2rRpKV68ON7e3hQpUoSsWbNSokQJSpQowaxZs3Bzc8PV1ZVevXpRsGBBnjx5wvHjx3n48CHnz5//z2OHhobGX5a7VKlSZMiQgb1793L69Om39rU+deoUtWrVYvTo0W/tUf0+rq6u1KlTh9KlS5MlSxZu3rzJwoULiY6OTta16OZESrQQFubkw5MM8B3AGf8zdCnVhfFfjE/Ry/YKIUyHpml4enoCJHpv5MQolLUQ29ptY9uNbQzcORBXL1e+rfwtP9T4gQy2GT78uEKF6NixI0uXLn3nfT/++CPPnj1j3bp1+Pj40LBhQ3x9fbG3t0+xz+NjFixYwFdffcW3335LVFQUo0ePpkSJEhQvXpwzZ87w888/s2TJEl68eIG9vT1lypR575UD/y1dunT069eP3bt3s2HDBuLi4ihUqBCzZ8+mb9++n5S1b9++bN++nZ07dxIaGoq9vT316tVjxIgRuLq6ftIxzZ1OS87V8uKDQkJCyJw5M8HBwWTKlEl1HGGBQiJDGLpnKHP95lLaoTQzG86kat6qqmMJIYyIj48Pbdq0wdnZmWvXrhnkOSNiIph4dCJjj4wlW9pseDX2oqlzU4M8txD/lpi+JiXaQKREC5V2/72bnlt6EhQRxLg64+hbvi/WVu8/C10IYZk0TYvfC9jf3z/Z9mNOqLsv79J/R3923NxBp5KdmNpgKlnTZjVoBiES09fkxEIhzFhwRDA9t/Sk/or6FMlWhIt9LzKg4gAp0EKId3h7ewNQvHhxgxdogPx2+dnWbhtLPZay9cZWXGa7sOnaJoPnECKhZBJtIDKJFobme9OX3tt6ExwRzKR6k+hVtpfs9yyEeK9/TqEDAgJwcFB7noR/qD9fbvuSrTe20q5EO6Y3nE72dNk//kAhkkgm0UJYsJcRL+m+uTuNVjWieI7iXOp3id7lekuBFkJ80OrVqwH9Dg2qCzSAU0YnNrfdzIrmK9h5aycus13YcHWD6lhCvEUm0QYik2hhCNtubKPPtj6ERYUxpf4UupXuJuVZCPGf/jmFfvz4MTlz5lSc6G2Pwx7Td3tfNl3bRGuX1sxsOJMc6XOojiXMlEyihbAwga8D6byxM01XN6VUzlJc7neZ7mW6S4EWQnzUihUrAChTpozRFWgAhwwObGi9gdUtV7Pv9j6Kzy7O2strVccSQibRhiKTaJFStl7fSu9tvXkd/ZppDabRuVRnKc9CiAT55xT6yZMnSvdUTognYU/ov6M/66+up2Wxlng19pKptEhWMokWwgJExEQwYMcA3Ne4U86xHJf7XaZL6S5SoIUQCbZs2TIAypcvb/QFGiBnhpysa70OH08fDt07RKk5pdh/Z7/qWMJCySTaQGQSLZLT9efXabOuDdeeX+OP+n/Qt3xfKc9CiET55xT62bNnZM9uWrtfBIQG0HFjRw7cOcDIaiMZXXM0NlZyIWaRNDKJFsKMLT23lHLzyhERE8HJnifpV6GfFGghRKItXrwYgEqVKplcgQZwzOjI7o67+bXWr4w7Mo5aS2vxIPiB6ljCgsgk2kBkEi2SKjQylP47+rP8wnK6lu7KzIYzSW+bXnUsIYQJMvUp9L8duX+E9uvbExYVxuJmi2lWtJnqSMJEySRaCDNzNuAs5eaVY+O1jSxvvpzFzRZLgRZCfLIFCxYA8Pnnn5t8gQZwy+vGuS/PUSN/DTy8Pfja92siYiJUxxJmTibRBiKTaPEpNE1jxqkZfLfnO0rYl2BNyzUUzlZYdSwhhAmLi4vD2toagOfPn5MtWzbFiZKPpmnMPj2bQbsHUTxHcbw9vSmSrYjqWMKEyCRaCDPw4tULmq1pxsCdA+lXvh/Huh+TAi2ESLL58+cDUL16dbMq0AA6nY7+FftzsudJXkW/ouzcsiw/v1x1LGGmZBJtIDKJFolx5P4R2q1vx6voVyxptoSmzk1VRxJCmIF/TqFfvHhB1qxZFSdKOWFRYQzYMYCl55fSuVRnZjWaRQbbDKpjCSMnk2ghTNSbX0XWWlqLAnYFOP/leSnQQohkM3fuXABq1qxp1gUaIINtBpZ4LGGZxzLWX1lP1UVVuRN0R3UsYUZkEm0gMokWHxMVG8VXO75i3tl5DKw0kEn1Jsmep0KIZPPPKXRgYCBZsmRRnMhwLj29RLM1zQiOCGZtq7XUKlBLdSRhpGQSLYSJeRL2hNpLa7Pk/BIWuS9iaoOpUqCFEMlq1qxZAHzxxRcWVaABStiX4HSv05RxLEPd5XWZeWomMkMUSSWTaAORSbT4kLMBZ/FY40F0XDQbWm+gSp4qqiMJIczMP6fQQUFB2NnZKU6kRkxcDN/t/o6pJ6fSs0xPZjaaSWqb1KpjCSMik2ghTMTqi6upuqgqDhkcONPrjBRoIUSKmDFjBgANGjSw2AINYGNlw5QGU1jcbDHLLiyj9rLaPAl7ojqWMFEyiTYQmUSLf4qNi2XU/lGMPzqejiU7Mq/JPNKmSqs6lhDCDMXGxmJjo18eZslT6H878fAELbxbYG1lzaY2myjnVE51JGEEZBIthBELjgjGfY07E45NYFLdSSzzWCYFWgiRYqZPnw5Ao0aNpED/Q+XclTnT+wxOGZ1wW+zGqourVEcSJkYm0QYik2gBcOPFDdxXu/Mk/AlrWq6hfqH6qiMJIczYP6fQL1++JHPmzIoTGZ+ImAj6bOvDsvPLGPr5UMbWGYu1lbXqWEKRxPQ1Of1fCAPZe3svnj6eOGV04lTPU3L1QSFEivvjjz8AcHd3lwL9AWls0rCk2RJK5yzNkD1DuPTsEt6e3nJhFvFRMok2EJlEW7ZVF1fRdVNX6hSsg7enN5lSy78BIUTK+ucUWl57Emb337vx9PHEObsz29tvxz69vepIwsBkTbQQRuSP43/QYUMH2ru2Z0vbLVKghRAGMWnSJACaN28uBTqB6n1Wj8PdDvMw5CFVF1XldtBt1ZGEEZNJtIHIJNryxGlxfL/neyYdn8Rwt+H8Vvs3dDqd6lhCCAsQExNDqlSpAP3rT8aMGRUnMi13gu5Qf0V9QiJD2NFhB2Udy6qOJAxEJtFCKBYVG0XnjZ2ZfHwy0xtMZ2ydsVKghRAGM2HCBAA8PT2lQH+CAlkKcLT7UfJmzkuNJTXYe3uv6kjCCMkk2kBkEm05QiND8VzrycG7B1nefDmtXVqrjiSEsCAyhU4+YVFhtF7bmr2397LUYyntXNupjiRSmEyihVDkSdgTai2txYmHJ9jZYacUaCGEwY0bNw6ANm3aSIFOogy2GdjcdjPtXdvTfkN7phyfojqSMCIyiTYQmUSbv78D/6b+ivqER4ezs8NOSjmUUh1JCGFh/jmFDg0NJUMG2aYtOWiaxoh9Ixh/dDxDqgzh97q/Y6WTOaQ5kn2ihTAwP38/Gq1qhF0aO473OE5+u/yqIwkhLNCYMWMA6NChgxToZKTT6Rj3xTgcMzryzc5veBz+mIXuC7G1tlUdTSgkk2gDkUm0+dp3ex8e3h4Uz1Gc7e23kz1ddtWRhBAWKDo6GltbfakLCwsjffr0ihOZJ5/LPnTa2Ima+WuyofUG0tvK19mcyJpoIQzE96YvjVc1xi2vG/s775cCLYRQ5tdffwWgU6dOUqBTUGuX1vh28OXYg2M0XNmQ0MhQ1ZGEIjKJNhCZRJufLde30GptKxoWaoi3pzepbVKrjiSEsFAyhTa84w+O02BlA1xyuODbwZfMaeSy6uZAJtFCpLD1V9bT0qclTYs0xaeVjxRoIYRSo0ePBqBbt25SoA2kSp4q7O20l6vPr1JvRT2CXgepjiQMTCbRBiKTaPPhfcmbDhs60MqlFcubL8fGSs7PFUKoExUVRerU+h/kw8PDSZcuneJEluVswFnqLq9Lfrv87O64m2zpsqmOJJJAJtFCpJBVF1fRfkN72ru2lwIthDAKP/74IwA9e/aUAq1AWceyHOhygPvB96m9rDbPXz1XHUkYiEyiDUQm0aZv9cXVdNzYkc6lOrOg6QKsraxVRxJCWLh/TqFfvXpF2rRpFSeyXJefXqb2sto4ZnBkX+d9MpE2UTKJFiKZeV/ypuPGjnQs2VEKtBDCaIwcORKA3r17S4FWzMXehX2d9/Eo9BF1l9cl8HWg6kgihckk2kBkEm261l5eS7v17Wjn2o4lzZZIgRZCGIXIyEjSpEkDyBTamFx8cpFaS2uRzy4fezvtJUvaLKojiUSQSbQQyWTD1Q20W9+ONiXaSIEWQhiV4cOHA9CvXz8p0EbENacr+zrv4+7Lu9RbUY+XES9VRxIpRCbRBiKTaNOz/cZ2PLw98CzuKScRCiGMyj+n0K9fv45/WxiPc4/PUXtpbYpkK8LeznvJYCuXYTcFMokWIomO3j9Kq7WtaFKkiRRoIYTRGTp0KABfffWVFGgjVdqhNHs67eHys8t4+ngSFRulOpJIZjKJNhCZRJuOS08vUW1xNUrlLMXOjjtJYyMvUEII4xERERG/fCMiIiJ+dw5hnPbf2U/DlQ1pWawlK1qswEon80tjJpNoIT7RvZf3qL+iPvky52Nz281SoIUQRmfIkCEADBw4UAq0CahdoDYrW6xkzaU1DNo1CJldmg+ZRBuITKKN3/NXz3Fb5EZUbBRHux/FMaOj6khCCPEWmUKbLq/TXvTb0Y+xtccyvNpw1XHEBySmr8lCTyGAsKgwGq1sRFBEkBRoIYTR+vbbbwEYPHiwFGgT07dCX56GP2XE/hHkSJ+DnmV7qo4kkkgm0QYik2jjFRUbRZNVTTjx8ASHuh6ijGMZ1ZGEEOIdr1+/jr+sd2RkJLa2tooTicTSNI0BOwYwx28O61uvx6Ooh+pI4l9kTbQQCRSnxdF1U1cO3TvE5rabpUALIYzWwIEDAf3OHFKgTZNOp2N6w+m0LNaStuvacujuIdWRRBLIJNpAZBJtfDRNY+DOgcw8NZO1rdbSsnhL1ZGEEOK9ZAptXiJjImm8qjGn/U9zuOthSjmUUh1J/I9MooVIgLF/jmXGqRl4NfaSAi2EMGoDBgwAYNiwYVKgzUBqm9RsbLORQlkL0WBlA24H3VYdSXwCmUQbiEyijcvivxbTfUt3fqn5Cz/U+EF1HCGE+KBXr16RPn16AKKiokiVKpXiRCK5PA1/StVFVdE0jRM9T5A9XXbVkSyeTKKF+A9H7h+hz7Y+9CnXh1HVR6mOI4QQ/6lfv34AjBw5Ugq0mbFPb8/ujrsJjgym1dpWRMdGq44kEkEm0QYik2jjcPflXSrOr4iLvQu7O+4mlbW8IAkhjFd4eDgZMmQAZAptzv689yd1ltWhR5keeDXxUh3HoskkWoj3CIsKo9maZmSwzcDaVmulQAshjN6XX34JwI8//igF2oxVy1eN2Y1nM8dvDrNPz1YdRySQTKINRCbRasVpcbT0acne23s50eMELvYuqiMJIcR/+ucUOjo6GhsbuT6auftm5zfMPDWT3Z12U7tAbdVxLJJMooX4l9EHRrP52mZWt1wtBVoIYRJ69eoFwE8//SQF2kJMqjeJ2gVq4+njya3AW6rjiI+QSbSByCRaHe9L3rRd35bxdcbzvdv3quMIIcRHhYWFkTFjRkCm0JYm6HUQlRdWxlpnzfEex8mcJrPqSBZFJtFC/I+fvx9dN3elY8mODK06VHUcIYRIkO7duwMwZswYKdAWJkvaLGxpuwX/UH/ab2hPbFys6kjiA2QSbSAyiTa8gNAAKsyvQK5MuTjU9RBpbNKojiSEEB8VGhoa/zohU2jLtevWLhqtasTgKoOZUHeC6jgWQybRwuJFxETg4e2BhsamNpukQAshTEa3bt0AGDt2rBRoC1a/UH0m1Z3ExGMTWXZ+meo44j1kEm0gMok2HE3T6LKpC2uvrOXPbn9S3qm86khCCJEgb14rQKbQQv961mNLD1ZeXMmhroeonLuy6khmTybRwqLNPj2b5ReWs8h9kRRoIYRJ6dKlCwC///67FGiBTqfDq7EXFZwq0NKnJc/Cn6mOJP5BJtEGIpNowzgbcJYqC6vQp1wfpjecrjqOEEIkWHBwMHZ2dgDExMRgbW2tOJEwFo9CHlF6bmkqOFVgW/ttWOlkBppSZBItLFJIZAit17bG1d6ViXUnqo4jhBCJ0rFjRwAmTZokBVq8JVemXCxvvhzfW75MOjZJdRzxP1KihVnQNI3eW3vzNPwp3p7epLZJrTqSEEIkWHBwMNu2bQPgm2++UZxGGKMGhRowrOowRuwbwbEHx1THEUiJFmZi/tn5eF/2ZoH7Aj7L+pnqOEIIkSjt27cHYMqUKTKFFh/0a+1fqZy7Mm3XtSXwdaDqOBZP1kQbiKyJTjkXnlyg0oJKdC3VFa8mXqrjCCFEorx8+ZIsWbIAshZafNyD4AeUnlsat7xubGqzCZ1OpzqSWZE10cJihEWF0Xpta4pkK8KUBlNUxxFCiERr06YNANOmTZMCLT4qT+Y8LPVYypbrW5h6YqrqOBZNSrQwWZqm0Xd7Xx6GPMTH00cuqCKEMDlBQUHs3r0bgAEDBihOI0xFkyJNGFxlMN/v/Z5Tj06pjmOxpEQLk7Xk3BJWXFjB3CZzcc7urDqOEEIkmqenJwAzZ87EykpekkXCja0zlrKOZWmzrg0vI16qjmORZE20gcia6OR1+ellKsyvQHvX9ixwX6A6jhBCJFpgYCDZsmUDIDY2Vkq0SLS7L+9SZm4ZaheozbpW62R9dDKQNdHCrL2KfkXrda0pmKWgXFBFCGGyWrZsCYCXl5cUaPFJ8tvlZ3GzxWy4uoFZp2epjmNx5P9aYXKG7R3GnaA7+LTyIV2qdKrjCCFEogUGBnLw4EEAevfurTaMMGkeRT34quJXDNk9hGvPr6mOY1GkRAuTcujuIWacmsG4OuMonqO46jhCCPFJmjVrBsDcuXNlCi2S7PcvfiefXT66bupKbFys6jgWQ9ZEG4isiU66sKgwSnqVJHem3BzsehArnbzwCCFMz/Pnz8mRIwcAcXFxso5VJIvjD47jttiNcXXGMbTqUNVxTJasiRZm6fs93/Mk/AmLmi2SAi2EMFlNmzYFYMGCBVKgRbKpkqcKg6sM5ocDP3Dl2RXVcSyCTKINRCbRSbP/zn7qLKvDjIYzGFBR9lIVQpgmmUKLlBQRE0GZuWXIYJuB4z2OY2NlozqSyZFJtDAroZGhdN/cnZr5a9KvQj/VcYQQ4pM1adIEgEWLFkmBFskujU0alnos5WzAWSYcnaA6jtmTEi2M3nd7vuP5q+cscpdlHEII0/Xs2TNOnjwJQNeuXdWGEWYM1FPXAAAgAElEQVSrYq6KDP18KD8d/ImLTy6qjmPWpJEIo7bn7z3M9ZvLxLoTKZClgOo4QgjxyRo2bAjA0qVLZQotUtRPNX+iSLYidN3clejYaNVxzJaUaGG0QiJD6LGlB3UK1KFP+T6q4wghxCd7+vQpfn5+AHTq1ElxGmHuUtukZonHEs4/Ps/4I+NVxzFbUqKF0Rq8azBBEUEsdF8oyziEECatXr16AKxYsUKm0MIgyjuVZ5jbMH45/AvnHp9THccsye4cBiK7cyTOzls7abiyIfOazKNXuV6q4wghxCd78uQJDg4OgOzIIQwrMiaSCvMrYKWz4lSvU9ha26qOZPRkdw5h0sKjwum9tTf1PqtHz7I9VccRQogkqVu3LgCrVq2SAi0M6s2yjsvPLjPx6ETVccyOlGhhdMYcHsOzV8+Y03iOvOAIIUza48ePuXhRv0NC27ZtFacRlqisY1m+qfQNv/35G3df3lUdx6xIiRZG5drza0w+PpnhbsNlNw4hhMmrXbs2AGvWrJGhgFDmxxo/kiVtFr7d9a3qKGZFSrQwGpqm8ZXvV+TJnIehVYeqjiOEEEni7+/P1atXAWjdurXiNMKSZUydkT/q/cGma5vYcXOH6jhmQ0q0MBrrrqxj7+29TG8wnTQ2aVTHEUKIJKlZsyYAa9eulSm0UK61S2tqF6jN175fExEToTqOWZASLYxCaGQo3+76lmbOzWhcpLHqOEIIkST+/v7cvHkTgJYtWypOIwTodDpmNpzJ/eD7cpJhMpESLYzCr4d/JfB1IFMbTFUdRQghkqx69eoArF+/XqbQwmgUy1GMQVUGMfbIWO4E3VEdx+RJiRbKXXl2hSknpjCy2kjy2+VXHUcIIZLk4cOH/P333wA0b95ccRoh3jaq+iiyp8vON7u+UR3F5EmJFkppmsaAHQPIb5efIZ8PUR1HCCGSzM3NDYBNmzbJFFoYnQy2GZhSfwpbrm9h241tquOYNCnRQinvy94cuHuAGQ1nkNomteo4QgiRJA8ePODevXsAuLu7K04jxPu1LNaSugXr8rXv17yOfq06jsmSEi2UCY0MZdCuQbQo1oIGhRqojiOEEElWpUoVALZs2SJTaGG0dDodMxrO4GHIQ34/+rvqOCZLSrRQ5udDPxMcGcyU+lNURxFCiCS7f/8+jx49AqBp06aK0wjx35yzOzPk8yGMPzKe20G3VccxSVKihRJ3gu4w/eR0hrsNJ2/mvKrjCCFEklWuXBmA7du3K04iRMKMrDaS7OmyM3L/SNVRTJKUaKHEDwd+IHu67HxbWS5BKoQwfXfv3iUgIACARo0aKU4jRMKkt03PzzV/Zs2lNfj5+6mOY3KkRAuDO/f4HKsurmJ0jdGkt02vOo4QQiRZxYoVAfD19VWcRIjE6VK6C0WzF2XYvmGqo5gcKdHC4IbvG07hbIXpXqa76ihCCJFkd+7c4dmzZwA0aCAnSQvTYmNlw7g649h7ey97/t6jOo5JkRItDOrAnQPsvLWT32r/RirrVKrjCCFEkpUrVw6AXbt2KU4ixKdp5tyMKrmrMGzfMOK0ONVxTIaUaGEwmqYxbN8wKuaqSMtiLVXHEUKIJLt9+zZBQUEA1KtXT3EaIT6NTqdj/BfjORtwlrWX16qOYzKkRAuD2XB1A6cenWJ8nfGyf6oQwiyULVsWgL179ypOIkTSVM9XncaFGzNy/0iiYqNUxzEJUqKFQcTExTBi/wgaFGpArQK1VMcRQogku3XrFsHBwQDUqVNHcRohkm5cnXHcDrrNfL/5qqOYBCnRwiAW/bWIGy9uMK7OONVRhBAiWZQuXRqAffv2KU4iRPJwzelKp1Kd+OXwL4RFhamOY/QsokQfPnyYpk2b4uTkhE6nY9OmTW+9X9M0fvzxRxwdHUmbNi1ffPEFN2/efOtjAgMD6dChA5kyZcLOzo4ePXoQFib/wBLiVfQrfjr4Ex1cO1DaobTqOEIIkWQ3b94kPDwcgNq1aytOI0Ty+aXmL7yMeMkfx/9QHcXoWUSJDg8Pp1SpUsyaNeu9758wYQLTp09nzpw5nDx5kvTp01O/fn0iIiLiP6ZDhw5cvnyZPXv2sG3bNg4fPkzv3r0N9SmYtGknpvH81XN+rfWr6ihCCJEsSpYsCcDBgwfVBhEimeWzy0f/Cv2ZeGwiz8KfqY5j1HSapmmqQxiSTqdj48aNeHh4APoptJOTE4MHD2bIkCEABAcHkzNnTpYsWULbtm25evUqxYsX5/Tp05QvXx6AnTt30qhRIx4+fIiTk9NHnzckJITMmTMTHBxMpkyZUu4TNDKBrwMpMK0AXUt1ZVrDaarjCCFEkl2/fp2iRYsC+tcQIczN81fP+Wz6Z3Qr3Y2pDaaqjmNQielrFjGJ/i937tzh8ePHfPHFF/H3Zc6cmUqVKnH8+HEAjh8/jp2dXXyBBvjiiy+wsrLi5MmT7z1uZGQkISEhb90s0YyTM4iOjWZk9ZGqowghRLJwdXUF9EsFhTBH2dNlZ1DlQcz1m8uTsCeq4xgtiy/Rjx8/BiBnzpxv3Z8zZ8749z1+/Bh7e/u33m9jY0PWrFnjP+bfxo0bR+bMmeNvefLkSYH0xi0sKoxpJ6fRq2wv7NPbf/wBQghh5K5evUp0dDQA1apVU5xGiJTzVaWvsLGyYdpJ+S3yh1h8iU4pw4cPJzg4OP724MED1ZEMbp7fPEKjQhny+RDVUYQQIlm4uLgAcOTIEcVJhEhZWdNmpW/5vsw6PYuXES9VxzFKFl+iHRwcAHjy5O1fVzx58iT+fQ4ODjx9+vSt98fExBAYGBj/Mf+WOnVqMmXK9NbNkkTGRDLp2CQ6lexEnsyWN4UXQpifK1euxK+Brlq1quI0QqS8byt/S2RMJLNPz1YdxShZfIkuUKAADg4Ob+3zGRISwsmTJ6lSpQoAVapU4eXLl/j5+cV/zP79+4mLi6NSpUoGz2wKlp5fyuOwx3xf9XvVUYQQIlm8mUIfO3ZMcRIhDMMxoyPdSndjyokpvIp+pTqO0bGIEh0WFsa5c+c4d+4coD+Z8Ny5c9y/fx+dTsc333zDmDFj2LJlCxcvXqRz5844OTnF7+BRrFgxGjRoQK9evTh16hRHjx5lwIABtG3bNkE7c1iamLgYfj/6O57FPXHO7qw6jhBCJNmlS5fi334zYBHCEnxX9TuCXgex8OxC1VGMjo3qAIZw5swZatX6/0tNDxo0CIAuXbqwZMkShg4dSnh4OL179+bly5e4ubmxc+dO0qRJE/+YlStXMmDAAOrUqYOVlRUtW7Zk+vTpBv9cTIHPZR9uB91mXat1qqMIIUSyeLMjx4kTJxQnEcKwCmYpSDvXdkw8NpE+5ftga22rOpLRsLh9olWxlH2i47Q4Ss0pRe5MufHt4Ks6jhBCJNmFCxcoVaoUIPtCC8t0+ellSniVYJH7IrqV6aY6ToqSfaKFMttvbOfS00uMcBuhOooQQiSLNwX61KlTipMIoYaLvQvNnJsx/uh4YuNiVccxGlKiRbLRNI3f/vwNt7xuVMsn+6cKIUzf+fPn49+uUKGCwiRCqDXcbTg3Xtxg47WNqqMYDSnRItkcvHuQk49OyhRaCGFSYmNj39nm9I3SpUsD+nNrhLBklXJXok6BOoz9c6wsa/ofKdEi2Yw9MpbSDqVpUKiB6ihCCJFgjRo1Infu3PTt2/etC2P99ddf8W+XK1dORTQhjMpwt+H89fgvdv29S3UUoyAnFhqIuZ9YeOnpJVy9XFnVYhXtXNupjiOESEaaphEWFcar6FfExMW8dYvVYrGxsiGVVSpsrGzib3Zp7EhlnUp19AQpVqwY165dw9raGp1OR48ePRgxYgT58uUDwM/Pj7JlyypOKYR6mqZRYX4FsqfLzs6OO1XHSRGJ6WsWscWdSHlep73ImT4nLYu3VB1FCJFAmqYRFBFEQGgAAWEB+If6x78dEBZAQOj/7gsLSPSFFnToyJ4uO04ZnXDM6IhjBv3trb//78/UNqlT6DNMnNhY/QlTCxYsYN68efH3S4EWQk+n0zGg4gC6be7GrcBbFMpaSHUkpaREiyQLiQxh2YVlfFv5W9k/UggjFafFcSvwFn7+fpwNOItfgP7P4Mjgtz7OLo1dfMHNZ5ePyrkr45jBEYcMDmSwzaCfOlv//9RZh45YLfat6XRUbBQvXr34/yIe5s+VZ1fYd2cfAaEBRMdFv/WchbIWopxjOf3NqRxlHctil8bOkF+et7wp02/06tWLkSNHkj9/fjWBhDAibVzaMHj3YLxOezG5/mTVcZSS5RwGYs7LOWadmsXAnQO5+81dcmfKrTqOEBYvTovj5oub+AX44efvh1+AH389/ouQyBAA8mXORzknfWktkq3IW1PhtKnSpmg2TdN48fpF/MT7YchDzj8+j1+AH+cenyM8OhyAz7J8Fp+xnKO+WGdJmyVFMr1ZzvEhNjY2aJpGly5dGDlyJAULFkyRHEKYiqF7hjL/7HweDXpEulTpVMdJVonpa1KiDcRcS7SmabjMdqFYjmKsb71edRwhLFZAaADbbmxj642tHLx7kNCoUAAK2BV4p4xmS5dNcdr3i42L5caLG++U/7CoMAAKZy1Mo8KNaFqkKdXzVU+2NdcfK9Fv2NjYEBcXx/79+6lRo0ayPLcQpuh20G0KTS/E/Kbz6VG2h+o4yUrWRAuDOXTvEFefX2Vmo5mqowhhUTRN4/yT82y5voWtN7Zyxv8MVjor3PK6MdxtOBVyVaCsY1myps2qOmqCWVtZUyxHMYrlKEbHkh0B/VT9xosb+Pn7ceT+EdZdWce0k9PInDozDQo1oGmRpjQs3NAgn6emadja2pI6tXGs4RZClYJZCtKwcENmnZ5F9zLd0el0qiMpIZNoAzHXSXSrta249PQSV/pdsdj/iYQwlIiYCA7ePciW61vYdmMbD0IekNE2Iw0LN9SXyUINjXbKnFw0TePc43PxPzz4BfhhrbPGLa8bTYs0palzU4pkK5KoYyZkEm1lZYWzszMbNmygaNGiSfkUhDALO27uoPGqxhzvcZzKuSurjpNsZDmHETLHEv0o5BH5puZjSv0pfFXpK9VxhDBLmqZx8O5B5vrNZduNbYRHh5PfLj9NizTF3dmd6vmqW/QJvY9CHsUvY9l7ey+RsZE4Z3OmU8lO9Czbk5wZcn70GAkp0T179mT69OmkTZuya8aFMBWxcbEUnlGYqnmrsrz5ctVxko2UaCNkjiV69IHRTD4+mUeDHpE5TWbVcYQwKy8jXrLs/DLmnJnD1edX44uhu7M7JexLyG9+3iM8Kpy9t/ey4doGfC77EBsXS4tiLehbvi/V81V/79csNi6WArUK8CDwAYQB94D/vSpaW1tja2vLwoULaddO9r8X4t8mHp3IqAOjePDtA+zT26uOkyykRBshcyvR0bHR5J2aFw9nD7yaeKmOI4TZOBtwFq/TXqy6tIqo2CiaF21O3/J9qZm/phTnRAh6HcTS80vxOuPFjRc3KJ6jOH3L96VTyU7xP/RvuLqBgTsH8jDk4f8/MBjYCVbXrShevDgbNmygcOHCaj4JIYzci1cvyD0lN6NrjGaY2zDVcZKFlGgjZG4l2ueyD23WteHClxdwzemqOo4QJu119Gt8LvvgdcaLk49OkjtTbnqX7U3Psj1xzOioOp5J0zSN/Xf243XGi03XNpHGJg0dXDtQJFsRvtvzHRr/egn831/rB9dn07hNpEmTxvChhTAh3TZ348CdA/z99d9YW1mrjpNkUqKNkLmV6BpLaqBpGoe7HVYdRQiTFfg6kIlHJzLv7DwCXwdS77N69C3flyZFmmBjJZsnJbdHIY9YcHYBc/3mEhAW8J8fmydTHu4MvGMWpUCIlHT60WkqLqjI5rabcXd2Vx0nyRLT16wMlEmYkWvPr3H43mH6VeinOooQJik8KpzfDv9GwWkFmXFqBt1Kd+PmVzfZ1XEXHkU9pECnkFyZcjG65ugEnQT1IOQBf97/0wCphDBtFXJVoIJTBeb6zVUdxeDkO7VItBUXVmCXxg6Poh6qowhhUqJio5jvN59fD/9KUEQQfcv3ZUS1EWZzQo6peBr+NEEfFxD639NqIYRet9Ld+Mr3K56GP7Wo72cyiRaJEqfFseLCCloVb0UaG1krKERCxMbFsuLCCorOLMrXO7+mQaEGXB9wnakNplrUC46xSOg6c1mPLkTCtHZpjU6nY82lNaqjGJSUaJEoR+8f5V7wvfiriQkhPkzTNLbd2EaZuWXotLETpRxKceHLCyzxWEJ+u/yq41msanmrkTtT7o9+3OqLq/EP9TdAIiFMW7Z02WhUuBErLqxQHcWgpESLRFlxYQX5MufDLa+b6ihCGLWzAWeptrgaTVc3JWvarBzvcZyNbTbiYu+iOprFs7ayZlqDafqdOP51ar3uf/91LtmZtVfWUmh6IUbuG8nr6NdKsgphKjqV7MRp/9Ncf35ddRSDkRItEiwyJhKfKz50cO2AlU7+6QjxPpExkYzaP4qK8ysSEhnCzg47OdDlgFldFtccZHqUCXxAF/b23tu5M+VmXet1LG2+lDsD7zCoyiAmH59M6bmlOfbgmKK0Qhi/JkWakCl1JouaRssWdwZiDlvcbby6kRY+LbjS7wrFchRTHUcIo3PG/wxdN3XlxosbjKo+iuFuw0llnUp1LPEeby5cc/3GdfxT+RMQGoBjRkeq5a32zrZ2V59dpdvmbpx6dIpvKn/DmNpjSJcqnYrYQhi1nlt6su/OPm5/fdtkLw4lW9yJFLH8wnLKOZaTAi3Ev0TERDB873AqL6hMapvUnOl9hh9r/CgF2kjt3r0bgCxZslCkcBFq5q9JO9d21Mxf8737QhfLUYyj3Y8yoe4EvM54UWpOKf68J9vfCfFvnUp24u7LuxbzWxsp0SJBAl8Hsv3mdjmhUIh/OfnwJGXnlmXy8cn8UusXTvQ4QcmcJVXHEv+hfv36APj5+SX4MdZW1gz5fAjn+pzDPr09NZbUYKDvQMKjwlMqphAmp1q+auTJlIflFz6+F7s5kBItEmTdlXXExMXQtkRb1VGEMAqvo18zdM9QPl/0Oelt03O2z1lGVBsh02cjt3PnTgBy5MhBgQIFEv145+zOHO56mD/q/8H8s/MpOackh+4eSu6YQpgkK50VHVw74HPZh8iYSNVxUpyUaJEgKy6soG7BujhkcFAdRQjlzgacpczcMkw7OY3fav/G8R7HKWFfQnUskQANGzYE4NSpU598DGsra76p/A3nvzyPU0Ynai6tyVc7vrKI0iDEx3Qs2ZGgiCB8b/mqjpLipESLj7r78i5/3v+TTiU7qY4ihHKrL66m6qKqpLdNz199/mKY2zC5TLeJ2L59OwAODg7kz58/yccrnK0wh7oeYlqDacw7O4/ay2rzOOxxko8rhClzsXehjEMZi9ilQ0q0+KiVF1aSPlV6ucy3sGixcbEM2zuM9hva41nckyPdjlA8R3HVsUQiNGnSBIATJ04k2zGtdFZ8XelrDnU9xJ2gO1SYX4Ez/meS7fhCmKKOJTuy9cZWgl4HqY6SoqREi49ae2Ut7s7upLdNrzqKEEoERwTjvsadiccmMqnuJJZ5LCNtqrSqY4lE2Lp1KwC5cuUiX758yX78yrkrc6b3GZwyOlFtcTVWXliZ7M8hhKloW6ItUbFRbL2xVXWUFCUlWvyney/vcf7JeZlCC4t1/fl1Ki2oxLEHx9jRfgeDPx9ssvufWipN03B3dwfg+PHjKfY8ThmdONT1EK1dWtNxY0eG7hlKbFxsij2fEMbKKaMTFXNVZMv1LaqjpCgp0eI/bb2xlVRWqWhQqIHqKEIYnO9NXyotqISVzopTPU9Rv1B91ZHEJ9iyRf9Cni9fPvLkyZOiz5XGJg1Lmi1hSv0pTD4+mSarm/Ay4mWKPqcQxqiZczN23tpJREyE6igpRkq0+E+br2+mVoFaZEptmldZFOJTaJrGxKMTabyqMdXyVeNEzxMUzlZYdSzxCTRNw8ND/5u0I0eOGOQ5dTod31T+hp0ddnLy4UkqLajEtefXDPLcQhgLd2d3wqPDOXDngOooKUZKtPig4IhgDt49iHsRd9VRhDCY6NhoumzqwtC9QxnuNpzNbTfLD5EmbOPGjQAULFiQ3LlzG/S5635Wl1O9TmFjZUOlBZXYe3uvQZ9fCJVccrhQwK6AWS/pkBItPmjnrZ3ExMXg7iwlWliGyJhIWq1txZpLa1jdcjW/1fkNK518mzRVmqbRsmVLAA4fPqwkQ6GshTjR4wRV81Sl8arGbL1u3idaCfGGTqejmXMzttzYgqZpquOkCHl1EB+0+fpmyjiUIU/mlF1DKIQxeBX9imZrmrHr711sartJrs5pBtavXw9A4cKFyZUrl7IcGVNnZFPbTTQp0oQWPi1Ye3mtsixCGJK7szv+of74BfipjpIipESL94qOjWbHzR0yhRYWITQylMarGvPn/T/Z3n47jQo3Uh1JJJGmabRq1QqAQ4fUX5bb1toWb09vWru0pu36thZxIQoh3PK6YZfGzmyXdEiJFu/15/0/CY4MpplzM9VRhEhRoZGhNFjZAD9/P3Z33E3tArVVRxLJwMfHB4BixYrh6OioOI2ejZUNyzyW0a10Nzpv7MzivxarjiREikplnYrGhRubbYmWa9WK99p8bTO5M+WmtENp1VGESDHhUeE0XtWYS08vsbfzXirmqqg6kkgGmqbRtq1+Oc7+/fsVp3mbtZU185rOw8bKhh5bepDKOhUdS3ZUHUuIFOPu7M7Kiyu5+/Iu+e3yq46TrGQSLd6haRpbbmzBvYi7XFRCmK3X0a9xX+POX4//YmeHnVKgzciaNWsAKFGiBA4ODorTvMtKZ8XsxrPpVrobXTZ1weeyj+pIQqSYBoUakMoqlVmeVCslWrzj0tNL3H15l2ZFZSmHME+RMZG08GnBiYcn2N5+O1XyVFEdSSQTTdNo3749AHv3Gu+WclY6K+Y1nUd71/a0X9+eTdc2qY4kRIrIlDoTtQrUYssN81vSISVavGPL9S1ktM1IjXw1VEcRItnFaXF02NCBg3cPsqXtFqrnq646kkhGK1euBKBUqVLkzJlTcZr/Zm1lzeJmi2lZvCWt17Y264tSCMvmXsSdg3cPmt3VO6VEi3fs+nsXXxT8gtQ2qVVHESLZ/XTwJzZc3YC3pzd1CtZRHUckI03T6NSpEwC7d+9WnCZhbKxsWNF8BTXz18RzrSd/B/6tOpIQya5xkcbExMVw8O5B1VGSlZRo8ZZX0a84+eik7FAgzJLPZR9+PfwrY+uMle0bzdDy5csBKFeuHPb29orTJFwq61R4e3qTLW023Ne4ExIZojqSEMkqv11+8tvllxItzNvxB8eJio2iZv6aqqMIkazOBpyl66audHDtwPdVv1cdRyQzTdPo0qULAL6+vorTJF6WtFnY0m4Lj0Ie0X59e2LjYlVHEiJZ1cxfkwN3zWvJkpRo8ZYDdw+QI10OXHK4qI4iRLJ5HPaYZmuaUcK+BPObzpddZ8zQkiVLAKhYsSI5cuRQG+YTFc1elDWea/C95cuIfSNUxxEiWdXKX4sLTy7w/NVz1VGSjZRo8ZYDdw9QM39NKRnCbETERNDcuzlxWhyb2m4ibaq0qiOJZKZpGt27dwdg+/btitMkTYNCDZhYdyITjk1g+fnlquMIkWxq5a8FwKG76q8gmlykRIt4YVFhnHp0Kv4fuhCmTtM0em/tzbnH59jUZhNOGZ1URxIpYNGiRQBUqVKF7NmzK06TdN9W/paupbvSa2svTjw8oTqOEMkiT+Y8fJblM7NaFy0lWsQ7ev8oMXExsh5amI1Jxyax/MJyFrovpEKuCqrjiBSgaRo9e/YEYOtW87iYg06nY07jOZRzKofHGg8ehjxUHUmIZGFu66KlRIt4B+8exCGDA0WzF1UdRYgk873py/d7v2e423Dau7ZXHUekkPnz5wPg5uZGtmzZFKdJPqltUrOh9QZsrW1ptqYZETERqiMJkWS18tfi8rPLPA1/qjpKstBpmqapDmEJQkJCyJw5M8HBwWTKlEl1nPeqvKAyBbIUYHXL1aqjCJEkz189x2W2C+WdyrO13VasdDIvSJSAADh/Hh480L/t76//880tOBhiYvS3uDiwsdHfbG3B3h4cHfU3J6f/f7twYXB1hTRpki1mXFwc1tbWALx48YKsWbMm27GNxV8Bf1F5YWUGVhrIhLoTVMcRIkn8Q/3J9UcuvD29ae3SWnWc90pMX7MxUCZh5EIjQznjf4buZbqrjiJEkg3YMYCYuBgWui+UAv0x/v7g5/f2LSBA/z6d7u1SXLIk1K8PdnaQKpW+OOt0EBurL9QREfD0qf6Yjx7BmTP6Y4WF6Y9nYwMlSkC5clC2rP7PUqU+uVjPnTsXgJo1a5plgQYo41iGX2r+wvB9w/Eo6sHneT5XHUmIT+aU0Yki2Ypw8O5Boy3RiSElWgDw5/0/idViZT20MHlrL6/F+7I3q1uuxiGDg+o4xic2Fo4fh61b9berV/X3Z8umL7Vdu/5/yc2TR198kyo0VP88/yzqS5fqi3eaNFCnDri7Q5Mm+ul1AsTFxdGvXz8A1q9fn/SMRmzw54PZeG0j3TZ341yfc7LDjDBpNfOZz7poKdECgAN3DuCU0YnCWQurjiLEJ3sa/pR+O/rRolgL2ri0UR3HeLx6BTt26Evzjh3w/Ll+wty4Mfz8M1SqpC/MKbW1ZcaMULGi/vZGRARcvAiHDulz9esHffroC7y7O3h46CffH+Dl5QVAnTp1zHYK/YaNlQ1LPJZQek5pRu0fxeT6k1VHEuKT1SpQi3ln5xEQGoBjRkfVcZJE1kQbiLGvia4wvwLO2ZxZ0WKF6ihCfBJN02i1thWH7h3icr/L2Kc3ncs+p5hr12DOHP3U9+VL/VIKd3do2lRfaK2MaKlLYCD4+uoLta8vhIRAhQrQty+0aQwHh9wAACAASURBVAPp0sV/6D/XQgcGBpIlSxZVqQ1q0rFJDN0zlMPdDuOW1011HCE+yeOwxzhOdmRVi1W0c22nOs47EtPXjOg7qFDlVfQr/gr4i2p5q6mOIsQn87nsw/qr65ndaLZlF+joaFi3Tr9EolgxWLlSP+G9eVM/+f3tN6hc2bgKNEDWrNChA6xZo5+Ub96sX2LSowfkzg2DBsGNGwDMnDkTgHr16llMgQb9/tGVc1em2+ZuhEeFq44jxCdxyOBA4ayFOf7wuOooSWZk30WFCucfnydWi6W8U3nVUYT4JI/DHtNvRz9au7SmlUsr1XHUiIiAKVMgXz5o1QoiI/UF+uFDGD8eChVSnTDhUqXST8x9feHWLejVC5YtA2dnYuvXZ+DAgQB4e3srDmpY1lbWLPFYwsOQh3JZcGHSyjuV54z/GdUxkkxKtMAvwA9ba1tK2JdQHUWIRNM0jS+3fYmNlQ2zGs1SHcfwYmJg0SIoUgS++w4aNdJvT3fkCLRvD6lTq06YNAULwu+/638YWLaM6efPA9AoZ07s3uwiYkGKZCvCuDrjmH5qulldPllYlvJO5Tn3+BwxcTGqoySJlGiBX4AfrvaupLYx8RdbYZFWX1rN5uub8WrsRfZ0pn/J5wTTNNiwQb/3co8eUKUKXLkCCxb85wl5JitNGmLbt2fQkycArLK11a/x7tED7t9XHM6wvq70NW553ei+pbss6xAmqZxjOV7HvObqs6uqoySJlGjBGf8zspRDmKRX0a/4bs93eBb3pEWxFqrjGM6FC/rS3LIl5M2r34/Z21s/jTZjU6dOBaBp06ZkvnlTv3xl61b95z1qlH4JiwWw0lmxyH0RD4IfMPXEVNVxhEi0Mo5l0KHDL8BPdZQkkRJt4V5Fv+LKsyuUcyynOooQiTbj5Ayehj9lfJ3xqqMYRnQ0/PILlC+vv4DJvn2wa5d+WzgzFxsby5AhQwBYsWKFfpnK11/D33/D0KEwYYL+63D6tOKkhlE4W2H6VejHhGMTeP7queo4QiRKptSZKJKtiMmvi5YSbeHOPT5HnBYnk2hhcgJfBzLuyDi+LPcln2X9THWclHfunH5bul9+0ZdGPz+oXVt1qmQXHR393vsnT9bvjezh4fH2tlMZM+q/Jn5++gu3VK4Mw4bpT7Q0cyOrjUTTNMb+OVZ1FCESrbxTeZlEC9Pm568/qdDF3kV1FCESZfyR8cTExTCq+ijVUVJWVBSMHq3fMzk2Fk6ehDFjTP+EwfdYtGgRdnZ2fP311/j7+8ffHxMTw/fffw/A0qVL3/9gV1c4cUL/tZkyBcqU0f/djOVIn4PvPv+OWadnce/lPdVxhEiUco7lTP7kQinRFu5MwBlK5SyFrbWt6ihCJNiD4AdMPzmdIZ8PIWeGnKrjpJynT+GLL2DsWBg5Ur/22YyXbpw9e5bXr18ze/Zs8ufPz4ABA3j06BETJkwAwNPT878vfmBjA8OHw9mzkCkTVKsGs2frT8I0U99W+ZYsabLw48EfVUcRIlHKO5UnIiaCK8+uqI7yyaREWzg/fz9ZDy1Mzk8HfyJT6kwMrjJYdZSU89df+unzjRtw8CD89BPYmv8PuzY2NsTGxhIdHc2cOXPInz8/I0eOBPST6gRxcYGjR6F/f/2tTx/9RN8MZbDNwI81fmT5+eVcfHJRdRwhEuzNyYWmvC5aSrQFC48K5+rzq7IeWpiUK8+usOT8En6o/gMZU2dUHSdleHtD1aqQI4f+RLmqVVUnUiI2NpaYmP//Ve/QoUO5n9Dt7GxsYOpU/R7aS5fq14//b3s8c9OrbC8+y/oZw/cNVx1FiATLYJuBotmL4udvuuuipURbsDcnFZZzkkm0MB0j9o0gX+Z89CnfR3WU5BcXByNGQNu20Lw5/Pkn5MmjOpXRmD9/Pp999hl9+vTh3r0ErgHu1k0/yb91S7+riZ/pvmB/SCrrVPxW+ze239zO4XuHVccRIsHKOZXjTIBMooUJOuN/htTWqXHJIScVCtNw9P5RNl/fzJjaY8xvHX9MDHTqpL9E94QJsGIFpE2rOpVReTOZXrhwIYUKFWLevHkJe2CVKvr15A4OUL067N+fskEV8CzuSTnHcny/93s0M14DLsxLecfynH98nujY9+/KY+ykRFuw80/O45rTlVTWqVRHESJBRh8cTWmH0rQt0VZ1lOQVFQVt2oCPD6xZo798t06nOpXRelOmHz58mPAH5c4Nhw7pTzZs1Ah27Ei5gApY6az4/YvfOfHwBL63fFXHESJByjiWITI2kmvPr6mO8kmkRFuw6y+uUzR7UdUxhEiQK8+usO/OPoZ+PhQrnRl964qKAk9P2LZNfxnv1q1VJzJq1tbW2NjYMH36dH7++efEPThdOti8GRo0AA8P/df8/9i787io6v2P468ZFhHZXBEURVQwdwUtLddM0wTc0sxMc6lcuv2yW90yzau3rFu2mEvabpppZolZrmlauYH7Bu4bIyoKDCDbzPz+OEHX3FjOzJnDfJ73wWPm6vA97xD0M9/z+X6/5UjXel2JDIpk1o5ZWkcRolgKa5Ck1CSNk5ROOfqXSJRU4uVEIqpGaB1DiGKZs3MOgZUC6d+4v9ZR1JOfr/Q/r1kDcXEQHa11omKx2WzkWfLIzs8mMy+TnIIcLFaL3a/r5uZGrVq12LZtG8888wyG0szWV6gA336rfK3791e+9uWEwWBgXJtxrD62muNXjmsdR4g7qu5dnQCvABJTE7WOUiruWgcQ2kjNTiX1WirhVcO1jiLEHZlzzSzYu4Bn7362/PRCW63w+ON/zUD36KF1outYrBaSUpNIMCWw27SbMxlnMJlNmDJNmMwmrhVcu+FzqnlXI8gniCDfIIJ8gmhUrRGRQZG0DmpNVe+qd7zeeY/zWBtbIR04Dfyttbdv37588skn+Pv7l+0/zsMDFi9Wiug+feDnn6Fz57KN6SQeafoIz699no/iP+Lt7m9rHUeI2zIYDIRXDdftTLQU0S6q8BtWZqKFHizct5Cs/CyejHxS6yjqee01ZSu7b7+F3r21ToPNZmP/xf3EJcax9vhadpl2kZWfBUBY5bCij3tD7iXYN5gArwA83DwwYMBis5BTkENKZopSZGeaSExNZPnh5ZjzzADU9a9L+5D2RIdH82CDB6lcsXLRtZcfXs6zq5/lXMA56PvnL6YDq8EtyQ2j0cjMmTN56qmnSjf7fDOenn997fv3hx07oL7+j4+v6FGREa1G8Nmez5jaZSoVPWRxqnBuEVUjpIgW+lL4DdugSgONkwhxezabjdk7ZxMbEUuIfznZ7m3JEuV46unTlQJOIzabjZ3JO/lq71fEJcVxJv0MPp4+PBD2AJM7TS6aRf7fgrckrDYrx64cIyE5gQRTAr+c/IXFBxbjZnCjY92O9G3UF38vf4b/MBzb36ed/YCBUHVTVda8v4aWLVuW/T/477y8lEL67ruV9o5t25STDnVuTNQY3t36Lt8c+IYnWj2hdRwhbiu8ajirjq7SOkapSBHtohJTEwnxC6GSZyWtowhxW5tPb+bgpYN88OAHWkdRR0ICDB8OQ4bASy9pEiE7P5vF+xczJ34Ou0y7qO1Xmz4RfYiOiKZT3U5UcK+gynWMBiPhVcMJrxrO4GaDAeXI9h+TfmRl0komrJlAga3g5p9sAGzgEeNBs+bNVMlzU5UrK/3o99wDjz6qLDx0c7Pf9RygfpX6PNjgQWbvnM3wlsPVm70Xwg4iqkZw5doVUrNT79j25WxkYaGLSkpNkn5ooQtz4ucQUTWCrvW6ah2l7EwmiI2FZs3g448dvo1dRm4GUzZNoda7tRi9cjRBPkH8OPhHTj17ig97fUj3+t1VK6BvJcQ/hDFtxvDTkJ9Y8vCS27/YAOfN59lyZotdM9GokbK14M8/K4fdlANj24wlwZTAzuSdWkcR4rYKaxE9Li6UItpFJabKzhzC+ZnMJpYfXs7YNmP1P5uWnw/9+oHNBj/84NCDVHIKcnhv63uEfRDGW7+/xYiWIzj+j+P8+OiPPBT+EG5GbWZecwtyi/U6k9lk5yQo2969/bZy0M3XX9v/enbWs0FPQgNCmb1zttZRhLithlUbAvrc5k6KaBdktVk5mnpUZqKF05ufMB9PN0+GtRimdZSye+MN2LlT2YkjONhhl/0x6UciZkXwwroX6HdXP44+c5QZPWZQr3I9h2W4lSDfIFVfV2bPPae02YwZAyU5yMUJuRndGBM1hiUHlnA5+7LWcYS4JW8Pb0L8Qki8LDPRQgfOpJ8h15JLRDWZiRbOy2az8enuTxnSbAj+XmXc0kxre/YoCwlfeUVZxOYAV65dYej3Q4leHE2T6k04OPYg86PnU9uvtkOuXxwd6nSgtl9tDNz6LoPRYMRkNjnmKGuDAWbNAh8fGDVKuWugYyNajcCGjYX7FmodRYjbiqgWQdIVmYkWOlD4bk9mooUz231hN2czzur/iO+8PBg2DBo3hldfdcglVyaupPHsxvyY9CNfxH7BqkdXOeWbZjejm7Jg1GbD8Ld61fDn/+6udTePLn+UAd8OcMyMakAAfPKJcgjLp5/a/3p2VM27Gt3CurEicYXWUYS4rfAq4TITLfQhKTUJTzdP6vrX1TqKELe04sgKArwC6FCng9ZRyuY//4FDh+DLL5W9ie3IarPy2sbXiPkmhqjgKA6OPciwlsOcup+8X71eLFsKtTKu//XafrVZNnAZf4z8g6UDlrL59Gai5kex98Je+4fq2RNGjIAJE+DMGftfz45iwmPYcnoLV65d0TqKELcUUS2CY1eOOeTkUzVJEe2CklKTaFClgWaLiYQojrikOHo17IWHm4fWUUovIUHphX71VbDHPsf/w5xrpv/S/kzbPI3Xu77OysErCfZ1XO91qb3wAv0OwynLeDYO28jX/b5m47CNnHz2JP3u6gfAw00eJuHJBKpUrEL7z9qz7NAy++d6913w94eRI3Xd1hEdEY3FZuGnoz9pHUWIWwqvGk6uJZezGWe1jlIiUkS7oHPmc9Txr6N1DCFu6Uz6GfZc2ENMeIzWUUrPZoPx46FpU7tvm3Y2/SztP2vPhhMbWPHICl7p8IpTzz4XyclRepABt/++Q+fQzgxuNpjOoZ1veJNfx78Ov434jejwaB7+9mGm/jrVvn3S/v5KW8f69bDMAUW7nQT7BtMmuA1xiXFaRxHilgprknMZ+lrQK4etuKBkczJNqzfVOoYQtxSXGIeH0YMHGzyodZTS++EH5QS89evBw36z6SeunuD+Bfdjs9nYNmobjas3ttu1VPf888rjhAlQ4c77U3t7eLO4/2Ka1WjGqxtfJT0nnXe6v2O/Nww9ekCvXsqboD597PrnaE+xEbG8+fub5Bbk2n0fcCFKo/CuWbI5WeMkJSMz0S7IZDY5bssoIUohLjGOzqGd9bsrR0EBvPwydO8O999vt8ucvHqSTl90wt3ozuYnNuurgL52DebMUZ5Pn17sTzMYDEzsOJEPe37Iu9ve5bk1z9l3Rnr6dDh+XNeLDGMiYsjMy2TTqU1aRxHipvwr+FPRvaJj9oRXkRTRLsZqs2LKNOmjV1K4pPScdDad2kRMhI5bOb74AhIT4c037XaJ8xnn6bqgK17uXvw6/Ff9tWg995zy+M9/lmrB5fi245nTaw4fbP+AVzbYsV2meXN47DH4978hK8t+17GjpjWaEhoQKrt0CKdlMBgI8g2SmWjh3FKzUymwFkgRLZzW6mOrybfm67eIzs6G116DwYOhVSv7XCI/m9hvYrFYLfzy+C/6+3m+dg3mzVOev/56qYcZ02YMM7rP4M3f3+TTXXacKZ46Fa5cgffft9817MhgMBAbEUtcYpxj9tsWohSCfYMxZcpMtHBihe/ygnyknUM4p7ikOFrWbKm/mdVCs2fDpUvK1nZ2YLPZGLFiBIcvHyZucBwh/iF2uY5dPfOM8vjSS2Xe9u+5e57jqcinGLNqDL+d+U2FcDcRGgpjx8JbbynFtA7FRMRw3nye3Rd2ax1FiJsK8pGZaOHkCt/l6W7mSriEAmsBPx39idiIWK2jlE5BAcycCY8/DmFhdrnE61teZ8nBJSzos4CWNe27bZ5dZGf/1V88bVqZhzMYDHzY80Pah7Sn35J+nE47XeYxb+rllyE3Fz77zD7j21mHOh0I8AqQXTqE05KZaOH0Ct/lBfoEapxEiBsduXyEtJw0Ood21jpK6axcCefOKVvb2cGmU5uYtHESUzpNoX/j/na5ht2NG6c8vvKKartdeLh5sGzgMnw8fRi0bJB9DmyoUQMGDoS5c8FqVX98O/Nw86BDnQ5sPbdV6yhC3FSwb7DMRAvnZjKbqO5dHU83+56cJkRpJCQnYMBA66DWWkcpndmzoV07uxyskpmXyYgVI+hYtyOTOk1SfXyHyMpSFl0CTJmi6tDVvKuxqN8idibvZMbWGaqOXWTsWDhxQjkSXIeigqNISE6QvmjhlIJ8gkjLSeNa/jWtoxSbFNEuJtmcLK0cwmnFJ8cTXjUcvwp+WkcpuSNHYMOGv2ZaVfbSupdIyUrhs5jPMBp0+lf32LHK46RJdtlzuV1IO55v9zyTNk7i0KVDqo/PPfcoi0Vnz1Z/bAeIDIok9Voqp9Pt1PIiRBkU1iZ6aunQ6d/EorSSM5Nlj2jhtBJMCUQFR2kdo3TmzoXq1WHAANWH3nhyI3Pi5/Dfbv+lfpX6qo/vEFlZsGCB8nyS/WbSp3aZSljlMIb9MEz9tg6DQXmT9NNPcPKkumM7QGRwJKDc8RHC2RTWJnpq6ZAi2sWYzCaCfWQmWjifAmsBey7sITIoUusoJXftmtKmMGpUsU7eKwmrzcr/rfk/7g25lzFtxqg6tkM9+aTyOGWKXU/+83L34rOYz4hPjmfhvoXqX2DwYAgIgPnz1R/bzmr61KSWby3ik+O1jiLEDYpmonV04IoU0S4m2Swz0cI5Hb50mGsF1/Q5E71hA2RkwNChqg/99f6v2Zeyj7cfeFu/bRyZmfD118rziRPtfrl2Ie0Y0HgAkzZOIqcgR93Bvb2hf3/47jvQYW9xVHAUCSaZiRbOp/DUQpmJFk7rUvYlalSqoXUMIW4QnxyPAQOtguxzQIldxcVBw4bQqJGqw+YW5PLqL6/Sp1Ef2oW0U3Vshxo1SnmcNg3c3R1yyde7vk6yOZnZO+zQvxwbC0ePKqdS6kxkUCTxyfGyuFA4HYPBQI1KNbiYdVHrKMUmRbQLybfkk1OQo89FW6LcSzAl0KhaI3w8fbSOUjJWq7K1XUyM0jOrovkJ8zmbcZY3ur6h6rgOZTbDkiXK83/9y2GXDa8azujWo3njtzcw55rVHfz++6FiReXNk85EBUdxNecqp9JOaR1FiBv4VvAlMy9T6xjFJkW0Cyn8xvT19NU4iRA3ik+OL1r4pCvx8XDhglJEq8hqs/LB9g8Y2GQgd1W/S9WxHWrECOXx9dcdNgtdaGLHiaTnpPPVvq/UHbhiRejeXZdFdOHPmPRFC2fk6+mLOU/lN712JEW0Cyn8xvStIEW0cC75lnz2puwlKkiH/dArVkDVqtC+varDrj2+luNXjzO+jX0ObnGIjAxYtkx5/uKLDr98bb/axDaKZfbO2eq3L8TEwB9/wEX93HoGqFGpBiF+IdIXLZySbwUpooWTKrylqbvb5aLcO3blGDkFOfo8xnrlSnjoIdVnWWfvnE2LwBa0D1G3OHeo4cOVxzffdPgsdKFxbcZx6NIhfj39q7oDP/SQ8rhqlbrjOkDLmi3Zm7JX6xhC3MDX01f99is7kiLahRTNREs7h3Ay583nAajjX0fjJCWUkQH790OXLqoOeyb9DKuSVjGuzTgMKvdZO0x6Onz/vfL8n//ULEaX0C40qtaIufFz1R04MBCaNoWt+jtGu45/HV3tgCBch8xEl9Cnn37KiMKeOWFXhe/upJ1DOJvCf9B1t/3irl3KY5s2qg77w5Ef8HDz4JGmj6g6rkMVbvf33/+Cm5tmMQwGA483f5xVSavU3+4uKgoS9NcWEeQTJEW0cEo+Hj4yE10Sv/32G19++aXWMVyCLCwUzirZnExlr8p4uXtpHaVkEhKUfYNV3tpuReIKutbrqt83vOnpSpsLwIQJ2mYBYhvFkpWfxS8nf1F34MhI5U5Ebq6649pZsG8wl7Mvk2fJ0zqKENeR3TmE0yq8RSI90cLZmMymotOqdCU+Hlq1UnWm9eq1q/x66ldiwtXd7cOhhgxRHmfM0HQWutBd1e6ifuX6xCWqvJtGVBTk5yuFtI4U/qxdyLygcRIhrqe33TlUX+mxYMGCEr3+2LFjakcQt2DONeNh9KCCu7rHEgtRVsmZOj1JMz7+rwVmKll9bDUWm4XoiGhVx3WYtLS/Fts9+6y2Wf5kMBiIiYjhmwPfMPehuer1mTdvriyYjI9XCmqdKPxZSzYn628dgijXfCvoa2Gh6kX08OHDS/QXlM1m0+/CGZ0x55n1e3tYlGsms4n6VeprHaNk0tLg2DHllr6KfjvzG42qNaK2X21Vx3WYR/7s437/faeYhS7ULawb7217jxNXT6j3vVaxIjRporu+6MKZaJPZpHESIa7n6+lLriWXfEs+Hm4eWse5I9WLaE9PT4KDg3nqqaeK9fpvv/2W3bt3qx1D3IQ51yz90MIpJZuTua/OfVrHKJmjR5XHJk1UHTbBlEBUsH5mNa9z9SqsWaM8f+YZbbP8TeHXNMGUoO4btqZN4cgR9cZzgKoVq+Jh9JDFhcLpFLabmvPMVKlYReM0d6Z6Ed2sWTPOnDnDSy+9VKzXHzlyRIpoB8nMy5R+aOF0bDYbpkwd9kQn/1mA1Kql2pD5lnz2XNjD4KaDVRvToQYOVB4//BCMzrXkpuiQkeQEBjYZqN7AwcGwbZt64zmAwWAgyDcIU6bMRAvnUni3PDMvUxdFtOp/y0VGRnL58mXOnj2r9tCijKSdQzijtJw0cgpyCPLRWU+0yaS0K1SvrtqQhy4dIteS61THn0+ZMoVp06bd+YVXr8L69crzsWMBmDZtGlOmTLFfuBKKDI4k3qTycddBQcr3gtonItqZbHMnnFHh3XK99EWrXkR36NCBOnXqcLTwVucd3HfffTz++ONqxxA3kWfJo4KbLCoUzqXwH3JdzkTXrKnqjOuhS4cAaFajmWpjlpWbmxuTJ0++cyHdv7/yOHs2GI1MmzaNyZMn4+ZEfdHNazTn8KXD6g4aHAzZ2crBOzoS7BssRbRwOoUbH+hl+0XV2zmGDBnCkMLtjYph5MiRjBw5Uu0Y4iasNitGg3PdYhUi9VoqANW8q2mcpIRMJmUWUs0hM034ePrg7+Wv6rhlMWnSJAAmT5583f+/zpUrsHGj8vzpp4sK6KlTp9789Rqp5VeLlKwULFYLbkaVivvC74HkZPB3nj+3O6nmXY3dF6SVUjiXwhrFarNqnKR4Sl1RTZ06lYsXL6qZRdiZFNHCGRVYCwB0sRL7OsnJyiykmkOak52yrWXSpElMnTr11jPSffoojx99xLTXX3fKAhqUFgarzcrFLBX/7Sr8HjDpq7/Yw+hR9LMnhLNwmSJ6ypQp1K1blyeeeMKlFgbOnj2b0NBQvLy8uPvuu9mxY4fWkYpNimjhjIqKaKPOiuiLFyEwUNUhnXmB5S0L6cuXYcsWAKalpDhtAQ3/s7WbmgvqCr8HUlLUG9MBPNw8yLfkax1DiOsU1igWm0XjJMVT6orK39+f3NxcFixYQFRUFJ06dWL58uVYrfp491AaS5YsYcKECbz22mvs2rWLFi1a0KNHD93MyFttVvVuYQqhksIi2t2oeneZfeXlgZe6x5SnZKYQ6KNuYa6mmxbSsbEATIuJYfJrrzltAQ0UfW1VPamv8HsgTx89nIXcje4yEy2cjsvMRCcnJzN//nxatGiBzWZjy5YtPPzww4SFhfHOO++QlpamZk6n8O677zJ69GieeOIJGjduzEcffYS3tzefffaZ1tGKRWaihTPSbRFdUKCcVqeiXEsuXu7qFuZqu66Qfvll+OMPpgGT4+KcuoAGir62qi5aKlw4WaCvglSKaOGMXKaIrlixIqNGjWLXrl38/vvvDB48GA8Pj6I9omvXrs3YsWM5fFjlldAaycvLIyEhgW7duhX9mtFopFu3bmzduvWG1+fm5pKRkXHdh9asNisG5HRI4VwK/yHX3V2SggLVT+QrsBbgZnD+r0NRIf3mm1QAJoPTF9Dw1xs1VdsYjEblI19frRHuRnfyrfrKLMq/onYOazlv5/hf7dq1Y9GiRZw9e5Zp06ZRu3ZtsrOzmTdvHk2bNuXBBx/k559/VuNSmrl8+TIWi4XAv/VABgYGcuHCjbcGp0+fjr+/f9FHSEiIo6LekhyvLpxR4V+aNp3ts4vRqPrewEaDERv6+DpMevppPIE8lJNqnb2Ahr9mt1R9w2azgdXqVEecF4fVZtXFGzbhWgr/HdDLXXNVU1avXp2JEydy8uRJli9fTteuXQFYu3YtvXv3JiIigtmzZ5OVlaXmZZ3Syy+/THp6etGHMxw+YzQYddOsL1xH4eyg7m4tu7urPvvobnTXzWKvaS1bKgW0uzt5eXnFO5BFY3ZpHbL8+Xeqyq099lZgLdBfC5Uo9wrf6LpkEV00qNFInz59WLduHYcPH+Yf//gHfn5+HD16lH/84x9OMStbUtWqVcPNzY2Uv63ATklJoWbNmje8vkKFCvj5+V33oTWjwaibPiPhOqSI/kuAVwBXc66qOqY9TPvXv5icnMxUIDcv7/bb3zmRK9euAMrXWTWFvdBSRAtRZnorokv9E5SdnU1aWhpXr14t+rjd/69SpQoZGRnYbDbS09PV/G9wCE9PTyIjI9mwYQN9/twT1Wq1smHDBsaPH69xuuKRIlo4o6I+Vb31Z/r7g8oLqIN9gtl+fruqY6pt2rRpTH7rLaYCkxYsAIOheAeyOAGTWdnaTtVtBK/+mbUbYgAAIABJREFU+aZHRwetgNIXrru92UW5Z5eWKzsqdRHt4+Nz2x5b3fU3FsOECRMYNmwYUVFRtG3blvfff5+srCyeeOIJraMVixTRwhnpdiY6OFj1AzaCfIOc+ijmopMIgUkAjz1W9Ht6KKQLv7aqHmhT+D2g8sE79iYz0cIZucxMdCGj0UhERAR+fn74+/sX+1GPBg0axKVLl5g8eTIXLlygZcuWrF69+obFhs5KimjhjCp5VAIgMy9T4yQlFBQECQmqDhnsG8zFrItOWeAUFdCBgUxKSYFFi+BvEynOXkgnm5Pxq+BHJc9KKg7655senRXRmfmZeHt4ax1DiOu4TBHt5uaGxWLBarXi7e3N+PHjGTRoEG46W6FcUuPHj9dN+8bfuRnc9DfbJ8q9IF9lVtBkNtGyZkuN05SAHWai6/rXxYaNk1dP0rBqQ1XHLouiAvqFF5j09tvKLw4efNPXOnMhffzqcer611V3UJNJeTNRo4a649qZyey8p2MK11VYo+iliC51ylOnTvHCCy8QEBBAfHw8Q4cOJTQ0lOnTp3PlyhU1MwqVVPKoRFZe+d8ZRehLYKVADBicuo3hpoKCwGyGTPVm0FsHtQYgwaTuDHdZFBXQU6cyadUq5RcXL75hFvp/3fKIcI0lmBKKvsaqSU5Wjv7W2cLCZHOyum0tQqggK1+pUXw8fTROUjylLqJr1arFW2+9xdmzZ5k1axYNGzbk/PnzvPrqq4SEhPDUU09x6NAhNbOKMvKt4Is5z6x1DCGu4+HmQfVK1TFlqjura3eFt+9VnI2u6l2V0IBQ4pPjVRuzrCwWi1JAjxwJhX+nDxp0x88rLKQtFufYVjPPkse+lH1EBkWqO7DJpLyh0hlTpsxEC+djzlVqFF9PX42TFE+Z58u9vb0ZO3YsR44cYeXKlXTt2pVr167x8ccf06xZM3r06KH7g1bKCx9PH/31nQqXEOTj3Avqbqpwq84TJ1QdNjIo0qlmoqdMmaK0ZHTpovzC0qW3nYX+X5MmTWLKlCn2C1cCBy4eIM+SR1RwlLoDnzwJdeqoO6adZednk5aTJjPRwukUTvSV+5nom3nooYdYt24d+/fvZ8SIEVSoUIF169bRu3dvGjVqxNy5c8nOzlbzkqIEfD19i97lCeFMgn2D9VdE16unbGu2a5eqw7at1Zad53eSW5Cr6rhlkpwMSUnK8wEDtM1SSn+c/QN3ozstarZQb1CbTVlc2qqVemM6gF22+hNCBeZcM0aDUTeLXu3Sud2kSRM++eQTzpw5w7///W8CAwNJSkpi/PjxhISE8NJLL9njsuIOfCv4kpWfJTt0CKcT7Busv3YOoxFat4Z4dVsvejboSVZ+Fr+e/lXVccukUyflcdmyYs9CO5uVSSvpHNpZ3X+cT5+G1FSIUnl2284Kf9akiBbOJjMvEx/P22+h7ExUK6Kzs7NJSUnh2LFj7N69my1btrBjxw7Cw8OZOHEiLVu2xGazcfXqVd555x21LitKoLDHSFo6hLPRZTsHKMWTykV00xpNCQ0IZcWRFaqOW2rnzsGxY8rzfv20zVJK6TnpbDy5kZjwGHUHLvyzj1S5z9rOivbL9pV2DuFczHlm3fRDQxm2uGvUqBGZmZmYzWaysrKKdbiKwWAol4ew6IVvhb+KaL8K2h9DLkShYN9gLmRewGqz6mZrI0Apnt5+Gy5dgurVVRnSYDAQEx7D8iPLmdVrlvYzMh06KI/Ll+t2FnrN8TXkW/OJiVC5iE5IgFq1oGZNdce1M5PZREX3ivhX0OeZDaL8Mueai2oVPSh1EZ1U2B93B15eXlSuXJmAgIDrHoXjFb67M+eaQT/fo8IFBPkGUWAt4HL2ZWpU0tF+u4W38RMS4MEHVRs2JiKGmTtmsuP8Du6ufbdq45bY2bNw6pTyvE8f7XKU0bJDy2gR2IK6ASrvER0fr7tZaPhzezvfIO3foAnxNy4zEz1y5MibFsd/f/T09FQzryiDwtWuss2dcDaFvZnJ5mR9FdFhYVC5MmzdqmoR3Tm0M3X96zI3fq62RXT79srjihW6nYU2mU18f+R73nlA5TbCggLYuROef17dcR0gOTNZ+qGFUzLnmXWzMweUoYj++OOP1cwhHKDwFons0CGcTf3K9QE4fOmwvk4tNBige3dYtQr+/W/VhnUzujEmagyvbXqNd7q/QzXvaqqNXWxnzij90AAxKrdBONDHuz7G082TYS2HqTvw779Dejr06KHuuA5w+NJhmtZoqnUMIW6QmZepq3YOHTUfirKShYXCWRUeMuJM+yMXW2ys0s5RWHCqZGTrkQB8tvszVccttnbtlMeVK7W5vgryLfnMS5jHY80eI8ArQN3B4+KUQ1Z0tjNHbkEu+1L2qb9fthAqMOfqq51DimgXUjQTLe0cwglFBUc51Ul9xfbgg8qRzyoXm9W8qzGo6SBm7ZhFTkGOqmPf0alTyt7QAL17O/baKlp6cCnJ5mTGthmr7sA2m9LiEh2tbHWoIwcuHiDfmi9FtHBKeuuJ1tdPvyiTiu4VMRqM0s4hnFJkUCS7TLv0t4955crQsaMyM6myV+57hWRzMnN3zlV97Nu6+88+7FWrHHtdFeVZ8pi0cRKxEbHqHrACcPgwHD+uyzaXBFMCbgY3WgSq/DURQgV6251DimgXYjAYCPAK4Mq1K1pHEeIGUcFRmPPMHE09qnWUkouNhV9+AbO6b1AjqkUwstVI/rPlP6TnpKs69i2dPAkXLyrPe/VyzDXtYF78PE6nn+aN+99Qf/C4OPD2hvvvV39sO4tPjqdJjSZU9KiodRQhbnA156r6rVd2JEW0i9HlyXDCJbQOag2gz77omBjIy7NL//BrnV/jWv413v7jbdXHvqnCHt/Vqx1zPTvIyM1g6uapPNHyCRpXb6z+Bb77TllQ6OWl/th2lmBKIDJIf9vyifIvz5LH5ezLuto5RopoFxPkEyRFtHBKVSpWIaxymD77okNDlaOx581Tfehg32AmtJvAO3+8w5HLR1Qf/zonTsCVP+9U6XDXiUKv/vIqWXlZTOk8Rf3B4+OVj+HD1R/bznILctmfsl/6oYVTupB5AVDqFL2QItrFBPsG6/N4ZeESIoMi9TkTDTB2LGzeDPv3qz70xA4TqRtQl+E/DMditag+fpHCg0PWrrXfNexs06lNfLjjQ6bfP53afrXVv8CcOVCnDjz0kPpj29n+i/vJt+bLTLRwSoW1icxEC6cV5BMkRbRwWlHBUfpcXAjQt6+y5dlc9RcBVvSoyBexX7AzeSczts5QfXwAjh2DtDTl+QMP2OcadpaZl8mIFSPoUKcDz9z9jPoXSE2FxYvh6afBzU398e0sPjked6M7zQObax1FiBuYzMpd8iBfmYkWTirYNxiT2YTNZtM6ihA3iAyKJDMvk6TUJK2jlJyHBzz5JHz1FWRkqD58u5B2PN/ueSZtnMTeC3tVH59WrZTH9evVH9tBnl/zPClZKXwe+zlGgx3+efv8c7BaYdQo9cd2gITkBJpUl0WFwjklm5PxMHpQtWJVraMUmxTRLibIN4hcSy5Xc65qHUWIGxQuLtx6dqvGSUpp9Gi4dg0WLLDL8FO7TKVx9cbEfhPLpaxL6g2clASZfx7CpMMdJ0DZjWP+rvl88OAH1K9SX/0LWK3KXYaBA6F6dfXHd4Bt57dJP7RwWsnmZIJ8gzAYDFpHKTYpol1MYa9R4W0TIZxJ5YqVubvW3aw6qtP9iWvVgn794P33IT9f9eG93L1Y8cgKrhVco//S/uRZ8tQZuMWfewZv3KjOeA626dQmxv88nnFtxjGqtZ1mib//Xll4OW6cfca3s1Nppzhw8QA96ut3wago30yZJl31Q4MU0S6ncNWr9EULZxUTEcPqY6sdf0qfWl59VSm2PvnELsPX8a/D94O+Z/v57YxbNa7srVmJiZDz59e6c+cy53O0E1dPMGDpADrV7cR7Pd6zz0UKCmDiRGXHknvusc817CwuMQ4Powc9GkgRLZxTsjlZVztzgBTRLqewYV+KaOGsYiNiycrPYuNJfc6K0rw5DB0K//73Xy0SKmsf0p55vefxye5PmPjLxLIV0s3/XGS2aZMq2RzpXMY5ui3oRuWKlVn68FI83Dzsc6HPP1febEyfbp/xHSAuMY6u9briV8FP6yhC3JTMRAun5+XuRWWvyrJXtHBajas3JqxyGHGJ6h+j7TBTp8LVq0pbh50MbzmcGd1nMP236UzeOLl0hfSRI8ohMaDsc60j5zLO0fXLrlhsFtYPXU+VilXsc6HsbJgyBR599K/FlzqTlpPGr6d/JSZCf8eUC9chM9FCF2SvaOHMDAYDMeExxCXF6XOrO4C6dZXe2f/+Fy6puADwbya0m8Bb3d7iP1v+wwvrXih5Id2kifK4ZYv64ezo5NWTdPy8I7mWXDYO20jdgLr2u9jMmcqf4bRp9ruGnf189GcKrAVEh0drHUWIm9LjaYUgRbRLkqO/hbOLbRRLsjmZXaZdWkcpvVdeAYMB/vMfu17mxXtfZOaDM5mxdQaDlg0iKy+reJ946JCy4wTAfffZL6DKtpzewt2f3I3RYGTLE1sIqxxmv4ulpsKbbyr7QofZ8Tp2FpcUR+ug1oT4h2gdRYibKjytUIpo4fSCfYM5l3FO6xhC3NK9IfdS2auyvls6qlVTFqPNmgU7dtj1Us/c/QzLHl7GT0d/4r7P7+N02uk7f1LhLPTvv9s1m5rmJ8zn/gX306RGE7aO3Eod/zr2veCzzypvhF591b7XsaM8Sx4/H/2ZmHBp5RDO63zGeUBfB62AFNEuKaxyGMevHNc6hhC35OHmQa+GvViRuELrKGUzYQK0bg3Dhv21A4ad9G/cnz9G/kFaThpRH0ex/sRtDk05cOCv5+3b2zWXGrLzsxnz4xie+vEpnox8krWPraV6JTvv1fz997BoEXz4IdSoYd9r2dHm05tJz02Xfmjh1I5dOQZg3ztLdiBFtAsKrxrOpexLXL0mB64I5xUbEcu+lH2cSjuldZTSc3eHL79UtrybPNnul2se2Jydo3fSIrAFD3z1AE//+DQZuTc5PbFZM+Xxjz/snqmstpzeQouPWvD5ns+Z33s+s3rNst8uHIUuX1ZaOGJjYcgQ+17LzuIS4wjxC6FlzZZaRxHilhJTEwn2DcbH00frKCUiRbQLiqgaAaDPo5WFy+jRoAceRg9+OPKD1lHKpnFjZbeOd95xSNFazbsaa4euZXav2Szct5Bmc5ux7vi6v16wf/9fz9u1s3ue0srKy+L/Vv8fnb7oRHXv6ux5eg+jI0c75uLjxyt7Q3/0kdLOoVNWm5UViSuIiYjR1SlwwvUkpSYV1SZ6IkW0C2pYtSEgRbRwbn4V/Ogd3ptPdn1S9gNFtPb889C2LQwfrmyZZmdGg5Gxbcayf8x+GlRpQPeF3Yn9JpYDFw/8tS/09u12z1Ea+ZZ85ifMJ3xWOPMT5jOj+wy2PLGFRtUaOSbAsmWwZAnMng01azrmmnay7vg6zqSfYXDTwVpHEeK2klKTCK8arnWMEpMi2gX5ePpQy7cWiamJWkcR4rbGtRnHwUsH2Xx6s9ZRysbdHb74As6eVdoEHPSmoF7leqwfup5F/RZx4OIBhk5u9tdvtm3rkAzFZbVZWXpwKU3mNOGpH5+ic2hnDow9wHPtnsPN6OaYEEePwujRytHtgwY55pp2NHvnbFoEtqB9iPP3vQvXZbVZZSZa6EtEtQiZiRZOr2u9rkRUjWBO/Byto5Rdo0bw6afw1VcwY4bDLmswGHi02aMcHneY3fOUX7v7SSP9l/Zn/Yn1mu/FnZqdyow/ZhAxK4JBywYRXjWcPU/tYVG/RY5dZJSWBtHREBio/DnpvP3hVNopfkz6kbFtxkorh3Bq5zPOc63gmi5not21DiC0EV4lnD/OOf+iIuHaDAYDY9uM5fm1z2Mym3S3/dENHn1U6Ul+8UWlV7pXL4dd2nPfwaLnj4+cydz4uTzw1QM0rNKQJyOfpG+jvtSvUt8hWXILcvn19K8s2r+IJQeWYMPGgMYDWNBnAe1CNOjTtlhg8GBISVG2IwwIcHwGlc2Ln4dfBT+GNNP3wkhR/hXeFY+oJjPRQiciqkVwNPWo5rNQQtzJsBbDqOBWgfkJ87WOoo7XX4fevZWi7fBhx123dWvlMT6ecW3HsX/Mfn4d/iuRwZFM/GUiDT5sQOPZjfnX+n+x5fQWruVfU+3SNpuN8xnn+WrvVzz87cNUf7s6PRb2YMvpLUzpPIWzz51lUb9F2hTQoLypWbcOli6Fhg21yaCinIIcPtn9CcNbDqeSZyWt4whxW0mpSbgb3QkNCNU6SonJTLSLCq8azrWCa5zLOGf/AwuEKAN/L38ea/4Y83fN55UOr9h/ezN7MxqV/YfbtVPaB7Zvh6pV7XvNhIS/nkdGAsosf8e6HelYtyPmXDPrTqxjZdJKPtv9GW/9/hZuBjcaV29MZHAkkUGR1AuoR7BvMEG+QVT3rn7TPuXs/GxMZhPJ5mSSzckcuHiABFMCCaYELmZdBKBtrba8eO+LRIdH0zywufatBl98Ae++Cx98AA88oG0WlSw7tIzL2ZcZEzVG6yhC3FHi5UTqV66Pu1F/JanBpvtl7/qQkZGBv78/6enp+Pn5aR2H41eO0+DDBqwbuo5uYd20jiPEbe1L2UeLj1rw7cPfMqDxAK3jqOPECWVxX/36yixoWf9euHgRVq2CRx6BihWv/73CQnXXLmjV6rbDWKwW9lzYQ3xyfFEBvD9lP/nW/KLXuBnc8Pfyx93ojtFgpMBaQG5BLuY883Vj1ahUg8ggpQiPDI7kntr3UNPHiXa8WLECBgyAJ56AefN03wddqN2n7fDx9GHd0HV3frEQGuu5qCeebp6seMQ5DtcqSb2mv7JfqKJuQF08jB4kXk6UIlo4veaBzbmvzn3M3jm7/BTRYWGwdi3cfz/07Alr1oBPGQ4aGDMGli+HF16AV15RdgHx9oadO/96zR0KaAA3o5sy+xwcWfRr+ZZ8UrJSMJlNmDJNmMwm0nLSsNgsWKwW3I3ueLp5EugTSJBPEEG+QQT5BBHgFaD9TPOt/PQTPPww9OkDc+aUmwJ6l2kX285t4/tB32sdRYhiSbycSP+7+msdo1SkiHZR7kZ3GlRpIDt0CN0Y12Ycg78bzKFLh2hcvbHWcdTRurVSPHfrpiwyXLUKfH1LN1bhTcXUVPjnP5Xe65dfVopqgD17Sh3Tw82D2n61qe1Xu9RjOJWfflK2sevVC77+WtmCsJyYs3MOIX4h9A7vrXUUIe4otyCXU2mndLmoEGRhoUsLrxoue0UL3eh3Vz8CKwUyc/tMraOoq21bZUZ63z6lmL56texj2mxw5YqyYK5QgwZlH7c8WL5cmX1+8EHlUBUPnffY/49LWZf4ev/XPB31tC77S4XrOXblGDZsutzeDqSIdmlNqjdh/8X9d36hEE7A082T5+55jk93f8rxK8e1jqOue+6BX36B48ehSxflUBY1/O+Sl9q14a23IDNTnbH16LPPYOBA6N8fvv0WKlTQOpGqXt/yOh5uHjwV+ZTWUYQolsIaRK93F6WIdmGRwZEkm5MxmU1aRxGiWP5x9z8IrBTIpI2TtI6ivtat4ddflZnoNm3g99/VHT8tTWnvCAmB6dPBbL7z55QXBQXwf/8HI0fCqFGwcGG5moEGOHn1JHN2zuGle1+iqredd3sRQiXxyfHU9a9LNe9qWkcpFSmiXVhkkLJwKMGUcIdXCuEcKnpUZErnKSw+sJhdpl1ax1FfkybKQsDwcGVG+pNP1B3fZlOK6VdeURbTuYLUVOjRA2bPVj7mzgU3Bx0j7kCTN02mqndVnr37Wa2jCFFsCaYEooKjtI5RalJEu7A6/nWo5l2N+OR4raMIUWzDWw6nUbVGvLzhZa2j2EeNGrB+vTJrOno0PPMM5Off+fOKy80N6tRReoLLuwMHlJ7zffuUbQTHji03u3D8r70X9rJo3yKmdJoih6sI3bDarCQkJxRN6OmRFNEuzGAwEBkUKTPRQlfcje680fUN1h5fy/oT67WOYx+ensqM6dy58NFHyiEgZ86oM3ZsrFJUtmihznjOyGZTWjbuuUfZNnDnTujcWetUdvPyhpdpUKUBI1qN0DqKEMV27MoxzHlmmYkW+hUVHCUz0UJ3+jTqwz217+Ff6/9Vvo+uf/pp2LABjh2Dpk1h/vzrFwsWl5ub0gM8Zw4sWwb+/upndRbJycobhaFDlcc//oDQUK1T2c2mU5v4+djPvHH/G/o/zVO4lMLao3VQa42TlJ4U0S4uMiiSC5kXSDYnax1FiGIzGAy81e0tEkwJLDu0TOs49tWxIxw8CIMGwVNPQffucOrU9a+xWODSpZt/fmH7xo4dyoEs5bCdAVDeXHz5pdJXvmMHfP+9crx6pfLb3mCz2Xhp/Uu0CW6j28MqhOtKSE6gXkA9XS+ElSLaxRXeRpHZaKE3Het25KGGDzHxl4nkW1TsGXZG/v7w8cewejUkJkKzZkqrh9Wq7HscGgq//Xbzzx0wAPbuhZYtHRrZoc6dg969Yfhw5fHQIWUv6HJu+eHl7Di/g7e6veW8J0MKcQvxpvjrTkbVIymiXVxtv9pU965OQrL0RQv9mX7/dI5fOc7Huz7WOopj9OihLJYbMkRZJFe/vrLn8blzN3/900/D4sWlPwXR2aWlwcSJEBEBu3dDXBx89RVUqaJ1MrsrsBbwyi+v0KN+D7rU66J1HCFKxGqzssu0i6gg/fZDgxTRLs9gMCh90SaZiRb60yywGY+3eJxXf3nVdfY79/NTFhv++qvS/3srBoNyjLi1HPaMX7sGb78NYWHw3nvw7LPK7HN0tNbJHOadP97h2JVjvNntTa2jCFFiSalJZOZlyky00L/IoEgSkhOwlWbBkhAae6f7O8opbT8+5Vrfw1Yr5OXd+vdtNuXkwy1bHJfJ3vLzlbaWhg2Vva4feUQ55fGNNyAgQOt0DnPg4gFe2/Qa/2z3T1rWLMdtOqLcKrz7reft7UCKaIHSF52SlcJ583mtowhRYtW8q/HRQx+xMmklC/ct1DqO45iKOfNe3Nc5s7NnYfJkZYHkk09Cp05w5Iiy20hQkNbpHCrfks/wH4ZTv3J9/t3l31rHEaJU4pPjCascRuWKlbWOUiZSRIui2ynSFy30qu9dfRnSbAj/WP0P19lpprjF4+rVt+6ZdmZWK6xZoywQDA1V2jb69oX9+5VdN+rX1zqhJt76/S32XNjDl32+xMvdS+s4QpSK3k8qLCRFtKCWby1q+tRk67mtWkcRotRm9pyJl7sXT6580jXaOjp0gNq1b71lncGgbO+2bJlShEZHw2efQUqKQ2OWiNUK27YpiwXDw5VTFU+cUI7rTk5WZp6bNtU6pWb2pexj6q9Teenel2hTq43WcYQolTxLHgmmBNoE6/97WIpogcFgoFPdTmw6tUnrKEKUWpWKVZjfez6rjq7iy71fah3H/tzc4IMPlOd/L6QL//+CBUo7x8yZcOUKjBqlzGDfcw+8/royq6v1G46sLPjhB+WY86AgaNdOWTh5333Ktn179yq7jJTXHUaKKd+Sz7AfhhFRLYLJnSZrHUeIUtt5fifZ+dl0qttJ6yhlJkW0AKBLaBfik+Mx55q1jiJEqUVHRDOsxTCeXf0s5zJ02MJQUv36KTPNtWpd/+u1ayu/3q+fspvH2LHw++9w4YIyG12rFkyfDs2bK33G/fsri/PWrIHLl+2X12JRDo5ZsEDZUeO++6BqVaVN448/YNgw2LxZmS3/4gu4997yezhMCb2x5Q32p+zni9gvqOBeQes4QpTaxlMb8avgR6ugVlpHKTODzSXue2ovIyMDf39/0tPT8fPz0zrODZJSk4iYFcGqR1fRq2EvreMIUWppOWk0mdOEZjWa8fOQn13jEAqLRdmFw2RSZnM7dFBmqm8nNxc2bYJ16yAhAXbtgowM5fdCQqB1a6UNJCjor4/gYOUxIACMf5uDsdmU3TNSUpTWC5Pp+o9Dh2DPHsjOVl7foAFERiqz4g89pOy4IW5qt2k3bT9py8v3vczULlO1jiNEmdy/4H68PbxZOXil1lFuqiT1mhTRDuLsRbTNZqP2e7UZ0mwI/33gv1rHEaJMfj76M72+7sX83vMZHTla6zj6YLUq/ccJCcrHnj3KgkSTSTnU5O+MRnB3Vx4LCpSPv3Nzg5o1lcK7YUOlaI6MhFatlFMYxR3lWfJo87HSO7pz9E483Tw1TiRE6eUW5BLwVgCvd32dCe0maB3npkpSr7k7KJNwcgaDgS6hXdh4aqPWUYQos54NezKq1SieXf0skcGRtA5qrXUk52c0KrPDDRrAoEHX/961a0orSOEMc0bGX4WzxQIeHkpB7eEBgYF/zVxXq3bjjLUoNpvNxrhV4zhy+QjbR22XAlro3vbz28kpyKFzaGeto6hCimhRpEtoFxYfWEx6Tjr+XjJLJPRtZs+Z7E3ZS+w3sewcvZOaPjW1jqRfFStCvXrKh3CYD3d8yCe7P+Hz2M/lUBVRLmw8uZEArwBaBLbQOooqZIpAFOkc2hmrzcrm05u1jiJEmVX0qMgPj/yA1Wal75K+5BTkaB1JiGJbd3wdz615jgn3TGB4y+FaxxFCFRtPbaRT3U64Ge+wZkMnpIgWRcIqhxHiFyJb3YlyI9g3mB8G/cCeC3tc71hwoVtJqUkMXDaQ7vW7yxoVUW7kFOSw7dw2uoR20TqKaqSIFkUMBgNd6klftChf2tRqw6cxn7Jg7wJmbJ2hdRwhbistJ42YxTHU9KnJN/2/KTczdkJsPbuVXEtuuemHBimixd90Ce3Cngt7uHLtitZRhFDNo80e5eX7XubFdS/y09GftI4jxE1ZrBYGfzeYi1kXiXskTtamiHJl46mNVK1YlWaBzbSOohoposV1Ood2xoZN+qJFufOfrv8hOiJdks+bAAAgAElEQVSawd8N5vClw1rHEeIGL657kXXH17H04aU0rCr7ZovyZeOpjXQK7YTRUH5Kz/LzXyJUERoQSmhAqPRFi3LHaDCysO9C6vjXIXpxNKnZqVpHEqLI57s/591t7/Jej/foFtZN6zhCqCo7P5vt57aXq35okCJa3MT99e5n7fG1WscQQnW+FXyJeySOtJw0+i7pS3Z+ttaRhGDd8XU8veppRrcezfi247WOI4TqNp/eTL41X4poUf71Du/N4cuHOXblmNZRhFBdvcr1WDl4JbtMu4j9JpZr+de0jiRc2MaTG4n5JoYHwh5gVq9ZrnFMvXA5cYlx1AuoR+PqjbWOoioposUNHgh7AC93L+IS47SOIoRdtAtpx09DfuL3M7/Tb2k/cgtytY4kXNBvZ36j9+LedKzbkWUDl8mJhKJcstlsxCXGERMRU+7eJEoRLW5QybMS3cK6SREtyrWOdTsSNziOjSc3MnDZQPIseVpHEi5k+7nt9FrUi7tr3c33g77Hy91L60hC2MUu0y7Om88TGxGrdRTVSREtbiomPIbfzvwmi69EudYtrBvfD/qe1cdWM/DbgTIjLRxi69mt9FjYg+aBzYkbHIe3h7fWkYSwm7jEOAK8Arivzn1aR1GdFNHipnqH98Zis8ieuqLc69mwZ1Eh3WdJH1lsKOxq06lNPPDVAzQPbM5PQ37Cx9NH60hC2NWKxBX0atgLDzcPraOoTopocVNBvkHcXetu4pKkpUOUf70a9mLVo6vYfHozD339EJl5mVpHEuXQmmNr6LmoJ+1D2vPzkJ/xq+CndSQh7Op02mn2puwtl60cIEW0uI2YiBhWH1stt7iFS7g/7H7WPLaGhOQEun/VnbScNK0jiXIkLjGOmG9ilPUmg+Oo5FlJ60hC2N3KpJV4GD3oUb+H1lHsQopocUsxETFk5mWy8dRGraMI4RD31bmPDY9v4MjlI7T/tD1HU49qHUnonM1m472t79F3SV9iImL4buB3sohQuIwViSvoHNq53B5hL0W0uKUm1ZsQVjlMdukQLqVNrTZsHbkVq81K20/asubYGq0jCZ3KKcjhiRVPMGHtBJ5v9zzf9P9GtrETLiM9J51NpzaV21YOkCJa3IbBYCAmPIa4xDhsNpvWcYRwmIhqEWwftZ32Ie3p9XUvZvwxQ34GRIkkm5Pp9EUnlhxcwsK+C/nvA//FzeimdSwhHGb1sdUUWAuIjojWOordSBEtbismIobz5vPsMu3SOooQDuXv5U/cI3G82P5F/rnunwz7YZicbiiKZfu57UTNj+J8xnm2PLGFIc2HaB1JCIdbkbiCljVbUse/jtZR7EaKaHFb99W5j8pelaWlQ7gkN6Mb07tN5+t+X/PtoW/p9EUnzmec1zqWcGJf7vmSjl90JDQglPgn44kKjtI6khAOl2/J56ejP5XrVg6QIlrcgYebB73De7P00FK5nS1c1uBmg/ntid8wZZqI+jiKrWe3ah1JOJkCawHPrX6O4SuGM7T5UDYO20hNn5paxxJCE+tPrCc9N12KaCEebfYoRy4fYfeF3VpHEUIzkcGRxI+Op37l+nT+sjOf7vpU3lgKAC5nX6bnop58uONDPuz5IR9Hf0wF9wpaxxJCMwv3L+SuanfRsmZLraPYlRTR4o66hXUjsFIgC/ct1DqKEJoK9Ankl2G/MKzFMEatHEXfJX0xmU1axxIa+u7QdzSZ04Tdpt2sHbqW8W3HYzAYtI4lhGbMuWa+P/w9Q5sPLfc/C1JEiztyN7ozuOlgvt7/NQXWAq3jCKEpTzdP5kfP57uB37H13FaazGnCV3u/kllpF3Mx6yIDvx3IgG8H0D6kPQfGHqBrva5axxJCc98f+Z5rBdd4tNmjWkexOymiRbE81vwxUrJS2HBig9ZRhHAK/e7qx6Gxh+jZsCeP//A40YujZdGhC7DZbCw9uJQmc5rwy8lfWNx/McsHLpf+ZyH+tHDfQjrW7UjdgLpaR7E7KaJFsbQOak2jao1YuF9aOoQoVNW7Kov6LeKHQT+QYEqgyZwmfL77c5mVLqdSMlMY8O0ABi0bRKe6nTg49iCPNH2k3N+yFqK4ks3JbDi5gaHNh2odxSGkiBbFYjAYeKzZYyw/vJzMvEyt4wjhVGIbxXJw7EFiG8UyIm4Evb7uxdn0s1rHEiqx2Wws3r+YxnMas/n0ZpYOWMqygcsI9AnUOpoQTmXx/sW4G90Z0HiA1lEcQopoUWxDmg8hOz+bH478oHUUIZxOlYpV+LLPl/w4+Ef2peyj6dymzE+Yj8Vq0TqaKINzGefou6Qvjy5/lAfCHuDQ2EM83ORhrWMJ4ZQW7l9IdHg0AV4BWkdxCCmiRbGFBoTSoU4H2aVDiNt4KPwhDo49SP+7+vPUj0/R4qMWrDiyQlo8dCY1O5V/rv0nDWY2YOu5rXw38Du+GfAN1StV1zqaEE7pwMUD7Lmwx2VaOUCKaFFCjzV/jHUn1sm2XkLcRoBXAJ/Ffsb2UdsJ9Amkz5I+tP+sPb+e+lXraOIOMvMy+c/m/xA2M4x5CfN4+b6XOfrMUfrd1U/raEI4tYX7FlKlYhV6NuypdRSHkSJalMjDjR/G3ejONwe+0TqKEE6vba22bHh8A+uGriPfkk/nLzvTc1FPdpvk4CJnk2fJY9aOWdSfWZ9pm6cxouUITvzjBK91fg2/Cn5axxPCqVltVhbtX8TAxgPxdPPUOo7DSBEtSqRyxcr0Du8tu3QIUQLdwrqxc/ROvn34W05cPUHr+a0Z/N1gjl05pnU0l2exWli4byERsyJ4dvWz9GrYi6TxSbz34HvSuiFEMW0+vZlzGed4rPljWkdxKCmiRYk91uwxdpl2cfDiQa2jCKEbBoOBAY0HcHDsQT6J/oQtp7dw1+y7ePrHpzmTfkbreC7HYrWw4sgKWs1rxdDvh9KqZiv2j9nP57Gfu8T+tkKo6au9X1EvoB7tQ9prHcWhpIgWJdarYS+qe1dnXsI8raMIoTvuRndGth7J0WeO8ub9b/LtoW+p90E9Yr+JZfWx1VhtVq0jlmuXsi7x1m9v0fDDhvRZ0oeq3lXZOnIrywctp3H1xlrHE0J30nLS+ObgNwxvOdzl9kyXIlqUWAX3CoxqPYov934pe0YLUUoVPSryfPvnOf1/p5n70FxOp52m56KehH8Yztu/v83l7MtaRyw3bDYbv5/5nceWP0bt92rz2qbX6FC3A1tHbuWXx3/hntr3aB1RCN36Ys8X5FnyGN16tNZRHM5gk32XHCIjIwN/f3/S09Px89P/IpUz6Weo90E9ZveazdNRT2sdRwjds9lsbDu3jTnxc1h6cCkGDDzc5GHGRI2hXe12LjfDowZzrpmF+xYyN34u+y/up37l+oyJGsPwlsOp6l1V63hC6J7VZqXRrEa0DmrNNwPKx4YDJanXpIh2kPJWRAP0+aYPJ66eYO/Te+UfeCFUdCnrEp/v+ZyP4j/iZNpJWgS2YEzUGB5p+gj+Xv5ax3NqNpuNfSn7mJcwj6/2fUV2fjbR4dGMbTOWbmHdMBrkBqwQall3fB3dF3Zn8/DNdKjbQes4qpAi2gmVxyK6PP7wCOFMrDYra4+vZc7OOaw6ugqjwUjn0M5Eh0cTHR5Nvcr1tI7oFPIseWw5vYW4xDhWJq3kZNpJavrUZHTr0YxuPZoQ/xCtIwpRLpXHyTQpop1QeSyiy+NtHCGc1dn0s6xIXMHKpJVsPLmRfGs+TWs0JTo8mpiIGNrWautSs6xXrl3h56M/E5cUx+pjq8nIzaCWby3lDUZENA+EPYCHm4fWMYUot8prW6cU0U6oPBbRAO9ve58X1r3A2efOUtOnptZxhHAJGbkZrD2+lpVJK1mVtIrUa6nUqFSDhxo+RExEDN3CuuHj6aN1TFXZbDaOXjnKysSVrExayW9nfsNisxAZFElMRAzR4dG0rNmy3MyGCeHsJm6YyKydszg/4Xy5+vtGimgnVF6L6LScNGq9W4t/3fsvJnWapHUcIVyOxWph67mtRcXl4cuHcTO4cVf1u4gMilQ+giNpEdiCSp6VtI5bLDabjbMZZ0lITiDB9OdHcgKXsi/h5e5Ft7BuRIdH0zu8N8G+wVrHFcLl5BbkEvJeCI80fYSZPWdqHUdVUkQ7ofJaRAM8ufJJfjr6E6f+7xTuRnet4wjh0o5dOcbGkxuLis99KfvIs+RhNBhpVK1RUWHdOqg1rYJaaT6DZLPZOJV2il2mXUWZd5l2FW3xV9OnZlHmtrXa0qVeF7w9vDXNLISrW7RvEY99/xiHxx2mUbVGWsdRlRTRTqg8F9F7Luyh1bxWLHt4Gf0b99c6jhDif+RZ8jh48eB1RereC3vJteRiwECwbzBBvkHKo08QQT5BRb9W+LxGpRq4Gd1KfO3MvExMZhOmTBMms4lkc7LyPPPP52YT583nycjNACDYN/i6Ij8yOFJmmoVwQu0/bY+3hzfrH1+vdRTVSRHthMpzEQ1w72f34uXuxYbHN2gdRQhxB/mWfA5fPkxCcgIn004WFbqFRe7FrIvXnZxoNBipUakGlTwq4W50x8PNA3ejO+5Gd4wGIwXWgus+8i35XM6+jDnPfN11vT28b1qkN6nehMjgSFlXIYQO7DbtpvX81nw38Dv63dVP6ziqK0m9JvfehSrGtRnHkOVDOHzpMHdVv0vrOEKI2/Bw86B5YHOaBza/6e8XWAu4mHXx+uLabOJawbUbCmaL1XJDYe1udKdKxSp/zW7/OdPt6+krC/+E0Lk5O+dQ2682MRExWkfRnBTRQhUDGg9gwpoJvLftPeZHz9c6jhCiDNyN7gT7BksrhRDiOhezLrJw/0Je7fCqrIECXGdTUWFXnm6ePHfPc3y590vOZ5zXOo4QQgghVPb+tvdxN7ozts1YraM4BSmihWrGtBlDRfeKvLv1Xa2jCCGEEEJFaTlpzN45mzFRY6hcsbLWcZyCFNFCNX4V/Him7TPMS5hHanaq1nGEEEIIoZI5O+eQW5DLc/c8p3UUpyFFtFDVs/c8iw0bH+74UOsoQgghhFBBdn427297nydaPkGQb5DWcZyGFNFCVdW8qzG69Whmbp+JOdd8508QQgghhFP7dNenXLl2hRfufUHrKE5FimihuufbPU9mXibzEuZpHUUIIYQQZZBnyePtP95mcLPBhFUO0zqOU5EiWqguxD+Ex1s8zoytM8gpyNE6jhBCCCFKadG+RZzNOMu/7v2X1lGcTrkvol9//XX+v737DquyfNwAfh82yFQRcCMiJuLChROVQMWd5s49MdOs3KNhmiN/aTiyEgvMVW5TcafgBhVU3KIIqChTlHGe3x/G+XZyHgOeM+7PdZ1LznkfXu/XFw43j+9o0qQJrKysYG9v/8Ix8fHxCAwMhJWVFcqUKYNPP/0UeXl5amMOHjyIevXqwdzcHFWrVkVISEgxpNddE5tOxL2se1gdvVp2FCIiInoL+cp8fHP0G3T26AzPMp6y42gdvS/ROTk56NGjB0aNGvXC5fn5+QgMDEROTg4iIiKwevVqhISEYMaMGaoxN27cQGBgIFq1aoXo6GiMGzcOQ4cOxe7du4trM3SOeyl3dK/RHd8c/QZ5yrzXfwIRERFplU2XNiEuJQ6Tm02WHUUrKYQQQnaI4hASEoJx48YhNTVV7fU///wTHTp0wN27d+Hk5AQAWL58OSZOnIj79+/DzMwMEydOxI4dOxATE6P6vF69eiE1NRW7du16o79fk3ux64vopGjUXVEXoV1D0bdWX9lxiIiI6A0JIeD9gzccLB2w74N9suMUG036mt7PRL9OZGQkvLy8VAUaAAICApCeno7Y2FjVGD8/P7XPCwgIQGRk5EvX+/TpU6Snp6s9DE0d5zpo794ec47MgVIoZcchIiKiN7T72m5EJUVhSrMpsqNoLYMv0UlJSWoFGoDqeVJS0ivHpKenIzs7+4XrnTNnDuzs7FSPChUqFEF67Tel2RTE3o/FHxf/kB2FiIiI3oAQAp8f+hwNyzVEa9fWsuNoLZ0s0ZMmTYJCoXjl49KlS1IzTp48GWlpaarH7du3peaRpWnFpmhbtS2m7p+K3Pxc2XGIiIjoNbbEbcGxO8fwVauvoFAoZMfRWiayA7yNCRMmYODAga8cU6XKm13L0NnZGSdOnFB7LTk5WbWs4M+C1/45xtbWFpaWli9cr7m5OczNzd8og76b22Yu6q6oi5+jfsaI+iNkxyEiIqKXyFPmYfK+yfCr4od33d6VHUer6WSJdnR0hKOjY6Gsy8fHB7Nnz8a9e/dQpkwZAEB4eDhsbW1Ro0YN1ZidO3eqfV54eDh8fHwKJYO+q+1cG328+uDzQ5+jX61+KGFWQnYkIiIieoHV0atx6cElhHYNlR1F6+nk4RyaiI+PR3R0NOLj45Gfn4/o6GhER0cjMzMTAODv748aNWqgf//+OHv2LHbv3o1p06YhKChINZM8cuRIXL9+HZ999hkuXbqEpUuXYv369Rg/frzMTdMpX7b6Eg8eP8B3x7+THYWIiIheIDs3GzMPzkRPz57wLustO47W0/sSPWPGDNStWxczZ85EZmYm6tati7p16+LUqVMAAGNjY2zfvh3Gxsbw8fFBv3798MEHH+CLL75QrcPV1RU7duxAeHg4ateujYULF+LHH39EQECArM3SOa4OrhhVfxS+OfoNUh6nyI5DRERE/7LkxBIkZyXjq9ZfyY6iEwzmOtGyGeJ1ov/tftZ9uC12w7B6w7AwYKHsOERERPS3R9mPUGVxFfSp2QfBgcGy40jD60STVnIs4YhPmnyC709+j1upt2THISIior/NPTIXufm5mN5yuuwoOoMlmorVxz4fw97CHjMPzpQdhYiIiADcSb+DxScWY4LPBDhbO8uOozNYoqlYWZtZY0aLGfjl7C84n3xedhwiIiKDN+vgLFibWWNCkwmyo+gUlmgqdsO8h6GKQxVM2c9biRIREcl04f4FrIpehektpsPW3DDP2XpbLNFU7MyMzfBV66+w/fJ2/HXrL9lxiIiIDNbU/VNR0a4iRnjzZmiaYokmKd73fB/eLt4Yv3s88pX5suMQEREZnP039mPzpc34qtVXMDfhXZY1xRJNUhgpjLCk3RKcTjyNlWdWyo5DRERkUHLyczBm5xg0q9gMfbz6yI6jk1iiSRqfCj4YXGcwpuybgvtZ92XHISIiMhjfHfsOl1MuI7h9MBQKhew4OoklmqSa6zcXAgKT902WHYWIiMgg3Em/g88PfY4xDcegllMt2XF0Fks0SeVYwhFft/4aP0X9hMjbkbLjEBER6b2Pd38MazNrfO77uewoOo0lmqQb7j0c3i7eGL1zNE8yJCIiKkLh18Kx4cIGLPBfADsLO9lxdBpLNElnbGSMpYFLcTbpLJafWi47DhERkV56mvcUY/4cg+YVm6OvV1/ZcXQeSzRphYblGmJovaGYun8q7mXdkx2HiIhI7yw6tgjXHl7jyYSFhCWatMbXbb6GsZExJu6dKDsKERGRXolPi8eXh7/ER40+gpeTl+w4eoElmrRGaavSmNNmDkKiQ3A0/qjsOERERHpj/O7xsDO3w0zfmbKj6A2WaNIqQ+sNRcNyDTF652jkKfNkxyEiItJ5u67uwh8X/8BC/4WwNbeVHUdvsESTVjFSGCG4fTDOJ5/HkuNLZMchIiLSadm52fjwzw/hW9kXvWr2kh1Hr7BEk9apX7Y+ghoEYer+qbj68KrsOERERDpr+oHpuJ12G0vbL+XJhIWMJZq00ly/uXCxccHAzQN57WgiIqK3cDT+KL6N/BZftPoC7zi+IzuO3mGJJq1UwqwEVnVehaO3j2Lx8cWy4xAREemUx7mPMWjLIDQq3wgTfCbIjqOXWKJJa7Wo1AIfNfoIU/ZPQdyDONlxiIiIdMbUfVNxO/02QjqHwNjIWHYcvcQSTVrt6zZfo7xteQzaMoiHdRAREb2Bw7cO47vj32F269nwKO0hO47eYokmrWZlaoWQziE4ducYFh1bJDsOERGRVsvKycKgLYPQpEITfNToI9lx9BpLNGm9phWbYnzj8Zi2fxou3r8oOw4REZHWmrxvMhIzErGq8yoexlHEWKJJJ3zV+itUsq+EgVsG8iYsREREL3Dw5kEsObEEc9rMgXspd9lx9B5LNOkES1NLhHQOwam7p7AgYoHsOERERFolMycTg7YMQvOKzfFhow9lxzEILNGkM3wq+GCCzwTMPDgTsfdiZcchIiLSGp+Ff4Z7WfewqvMqGClY74oD/5VJp3zR6gtUcaiCAZsHIDc/V3YcIiIi6fZd34dlp5Zhnt88uJV0kx3HYLBEk06xMLHA6i6rcTb5LKbtnyY7DhERkVT3su6h/6b+aO3aGqMajJIdx6CwRJPOaViuIb5u/TXmRczDzis7ZcchIiKSQimU6L+pP/JFPkK7hvIwjmLGf23SSROaTEB79/b4YNMHuJN+R3YcIiKiYvfNkW8Qfi0coV1D4WLjIjuOwWGJJp1kpDDC6i6rYWFigT6/9+Fl74iIyKAciT+C6QemY0rzKXjX7V3ZcQwSSzTprNJWpfHbe78h4nYEZh2cJTsOERFRsXjw+AF6beyFJhWaYJbvLNlxDBZLNOm05pWa44tWX+Drv75G+LVw2XGIiIiKlFIoMXDzQDzJe4I1762BiZGJ7EgGiyWadN6kZpPgV8UP/Tb1Q2JGouw4RERERebbyG+x48oO/NL1F5S3LS87jkFjiSadZ6Qwwq9df4WRwgh9/+iLfGW+7EhERESF7tidY5i8bzI+bfIp2ru3lx3H4LFEk15wsnbCmm5rcOjWIcz+a7bsOERERIXqUfYj9NrYCw3KNsDs1vw5pw1YoklvtHJthRktZuDzQ5/j4M2DsuMQEREVCiEEBm0ZhPSn6VjbfS1MjU1lRyKwRJOemdZiGlpWaonev/dGUmaS7DhERET/2XfHv8OWuC0I6RKCinYVZcehv7FEk14xNjJGWLcwKKBAt3Xd8DTvqexIREREb23v9b34ZM8nmOAzAZ08OsmOQ//AEk16x8XGBZt7bcaZxDMYsX0EhBCyIxEREWnsSsoV9NjQA35V/DDXb67sOPQvLNGklxqWa4ifOv2E1WdX49vIb2XHISIi0kjakzR0WtsJTiWcsLb7Wl4PWgtxj5De6lurL2LuxeCzvZ+hhmMNtHNvJzsSERHRa+Ur89Hr915IykzC8aHHYW9hLzsSvQBnokmvzW4zG4Hugej1ey9cvH9RdhwiIqLXmrh3IvZc24N13dehWqlqsuPQS7BEk14zUhghrFsYKthWQKe1nfAw+6HsSERERC+1Ono1FkYuxKKARfB385cdh16BJZr0no25Dbb23opH2Y/w/ob3kZufKzsSERHRcyJuR2D49uEYWncoPmz4oew49Bos0WQQqjhUwcb3N+LQrUP4ePfHsuMQERGpiU+LR9d1XdGoXCMEBwZDoVDIjkSvwRJNBsO3si++b/c9vj/5PX44/YPsOERERACArJwsdF7bGZYmlvj9/d9hZmwmOxK9AV6dgwzKiPojcP7eeQTtDIJHKQ+0rNxSdiQiIjJgSqHEwC0DcSXlCiKGRMCxhKPsSPSGOBNNBmdRwCK0rNQS3dZ34xU7iIhIqin7pmDjhY34teuvqOVUS3Yc0gBLNBkcU2NTbOixAeVsysE/1B+3027LjkRERAbo28hv8c3Rb7AoYBG6vtNVdhzSEEs0GSQHSwfs6rcLJkYmCAgNQMrjFNmRiIjIgPx69ldM2DMBk5pOwrjG42THobfAEk0Gq6xNWezutxv3H99Hh986ICsnS3YkIiIyADuv7MTgrYMxuM5gfN3ma9lx6C2xRJNBq1aqGv7s+ydi7sWgx4YevIY0EREVqcjbkei+vjvau7fHio4reCk7HcYSTQavftn62NRzE/Ze34vBWwdDKZSyIxERkR6KvReLwDWBqF+2Pta+txYmRrxImi5jiSYC4FfFD6HdQhF2Lgyf7PkEQgjZkYiISI/Ep8UjIDQA5W3LY2vvrbA0tZQdif4j/gpE9Lf3Pd/H/az7GPPnGDiVcMLEZhNlRyIiIj3w4PEDBIQGwNTYFLv77Ya9hb3sSFQIWKKJ/iGoYRDuZd3DpH2T4FjCEYPrDpYdiYiIdFhmTiY6rOmAlMcpODr4KFxsXGRHokLCEk30L7N8ZyE5KxnDtg1DaavS6OTRSXYkIiLSQTn5Oei+vjti78fi4ICDcC/lLjsSFSIeE030LwqFAsHtg9G1elf03NgTe6/vlR2JiIh0TJ4yD/3+6IcDNw9gc8/N8C7rLTsSFTKWaKIXMDYyRli3MPhW9kWn3zph/439siMREZGOyFPmof+m/th0aRPWdV+HNlXayI5ERYAlmuglzE3MsannJjSv1Bwd1nTAwZsHZUciIiItl6/Mx4DNA7AhdgPWvrcWXap3kR2JighLNNErWJhYYHPPzWhasSkC1wTi8K3DsiMREZGWylfmY+CWgVgXsw6/vfcb3qvxnuxIVIRYoolew9LUElt6bUHj8o3RPqw9jsQfkR2JiIi0TL4yH4O3Dsaa82sQ1i0MPTx7yI5ERYwlmugNWJlaYVvvbWhYriHahrbljDQREakUFOjQc6EI7RqKnjV7yo5ExYAlmugNFRTpRuUboV1YO55sSEREqpMIw86FIbRrKHp79ZYdiYoJSzSRBkqYlcD23tvRrGIzBK4JxJ5re2RHIiIiSXLzc9H7997YcGED1nZfywJtYFiiiTRUcIx0G9c26PhbR+y4vEN2JCIiKmZP856ix4Ye2HJpCzb22IjuNbrLjkTFjCWa6C1YmFjgj55/INA9EF3XdcXmS5tlRyIiomLyJO8J3lv/HnZd3YXNvTajc/XOsiORBCzRRG/JzNgM67qvQ9d3uqL7+u74Oepn2ZGIiKiIpT5JRUBoAPbf2I+tvbeivXt72ZFIEhPZAYh0mamxKdZ0W4MxFuCXuqoAACAASURBVGMwZOsQJGYkYkrzKVAoFLKjERFRIUtIT0DbsLa4m3EX+z7YB58KPrIjkUQs0UT/kbGRMZYGLkU523KYdmAa7mbcxeJ2i2FsZCw7GhERFZKL9y8iIDQACoUCRwYdwTuO78iORJKxRBMVAoVCgWktpsHZ2hkjto9AclYyQruFwsLEQnY0IiL6jyJuR6DDmg4oZ1sOu/ruQjnbcrIjkRbgMdFEhWhovaHY1HMTdlzZgYDQAKQ+SZUdiYiI/oNtcdvg94sfvJy88Negv1igSYUlmqiQdfLohH0f7MP55PNosaoFEtITZEciIqK38OOZH9FlXRe0c2+H3f12w97CXnYk0iIs0URFoEmFJjg6+ChSn6Siyc9NcPH+RdmRiIjoDQkh8NXhrzBs2zCM9B6J9d3X8/A8eg5LNFERecfxHUQOiYStuS2arWqGyNuRsiMREdFr5CvzMXrHaEw/MB1ftfoK37f/nieK0wuxRBMVoXK25XB44GF4OnqizS9tsC1um+xIRET0Ek/ynqDHhh5YeWYlfuz4I6a2mMpLltJLsUQTFTEHSwfs6b8H7dzbocu6LlgYsRBCCNmxiIjoH+5m3EXLkJaquxAOqTdEdiTScizRRMXAwsQC67uvx2dNPsMn4Z9gwOYByM7Nlh2LiIgAHLtzDPV/qI+7GXfx16C/0KFaB9mRSAewRBMVE2MjY8zxm4M13dZg44WNaBnSklfuICKSbHX0arQMaQlXB1ecHHYS3mW9ZUciHcESTVTMenv1xpHBR5CYmYj6K+vzhEMiIgnylHkYv2s8Bm4ZiA9qfYD9H+yHs7Wz7FikQ1iiiSSo51IPp4adgpuDG3xX+2JV1CrZkYiIDMbD7IdoF9YOS04swfftvscPHX+AuYm57FikY1iiiSRxsnbC/gH7MaD2AAzeOhjjdo1DnjJPdiwiIr0Wey8WDVY2QFRiFML7hyOoYRCvwEFvhSWaSCIzYzOs6LACwe2DEXwyGAGhAUh5nCI7FhGRXtpyaQsa/9QYJUxL4OSwk2jl2kp2JNJhLNFEkikUCoxuMBrh/cNxLvkcGv7YEDH3YmTHIiLSG0qhxJeHvkSXdV0Q4BaAiCERcHVwlR2LdBxLNJGW8K3si5PDTsLazBqNf2yMjRc2yo5ERKTz0p6k4f0N72PGwRn4wvcLrO+xHtZm1rJjkR5giSbSIpXtKyNicAQCqwWix4YeGLV9FK8nTUT0lk4mnES9H+oh/Ho4NvXchOktp8NIwepDhYNfSURapoRZCax9by2WBy5HyNkQNPqxES7evyg7FhGRzlAKJRZGLESTn5uglGUpRI2IQpfqXWTHIj3DEk2khRQKBUbUH4ETQ08gT5mH+ivr4+eon3m7cCKi17ifdR8df+uIT8I/wbhG43Bk8BFUcagiOxbpIZZoIi3m5eSFk8NOonfN3hiydQj6/tEX6U/TZcciItJKB24cQO3ltXEi4QR29tmJ+f7zYWZsJjsW6SmWaCItV8KsBH7s9CN+e+83bL+8HfVW1MOpu6dkxyIi0hp5yjzMODADbX5pg3cc38HZkWfRzr2d7Fik51iiiXREr5q9EDUiCg6WDmjyUxMsilzEwzuIyODdTruN1qtbY/Zfs/Flqy+xp98elLUpKzsWGQCWaCId4lbSDUcHH8XYRmPx8Z6P0fG3jnjw+IHsWEREUmyN24o6K+rgRuoNHBp4CFNbTIWxkbHsWGQgWKKJdIyZsRkW+C/Ajj47cDzhOGovr4191/fJjkVEVGwe5z7G2D/HovPazmhesTnOjjyLZhWbyY5FBoYlmkhHtXdvj+gR0aheujr8fvXDyO0jedIhEem9v279hdrLa2PlmZVY3HYxNvXchJKWJWXHIgPEEk2kw8rZlkN4/3Asbb8UoedC4bXMC3uu7ZEdi4io0GXlZOGjPz9Cy5CWKFOiDKJHROPDRh9CoVDIjkYGiiWaSMcZKYwwqsEoxIyOgXtJdwSEBmDY1mFIe5ImOxoRUaE4dPMQai2vhZVnVuLbgG9xeOBheJT2kB2LDBxLNJGeqGxfGeH9w7Giwwqsi12HmstqYtfVXbJjERG9tcycTIzZOQa+q31RzqYczo06h3GNx/HkQdIKLNFEekShUGC493DEjI5BDccaaBfWDoO3DEbqk1TZ0YiINLL/xn54LfPCquhVWNx2MQ4OPIiqJavKjkWkwhJNpIcq2lXErr678GPHH/H7xd/hudQTOy7vkB2LiOi1Mp5mYNT2UWjzSxtUtq+McyPP4cNGH8JIwcpC2oVfkUR6SqFQYEi9IYgdHYvaTrXR4bcOGLB5AB5lP5IdjYjohfZe34uay2ri13O/Irh9MPZ9sA9uJd1kxyJ6IZZoIj1X3rY8dvTZgVWdV2HLpS2oHlwdIdEhUAql7GhERACAuxl30e+Pfnj313dRtWRVnB91HqMbjObsM2k1fnUSGQCFQoGBdQbiQtAFtHFtg0FbBqHZz81wJvGM7GhEZMBy8nOwIGIBPL73wJ5re/BTp5+wt/9euDq4yo5G9Fos0UQGpKxNWax5bw0ODjiIjJwM1P+hPkZtH4WUxymyoxGRgdl7fS9qL6+NiXsnYlCdQYgbE4fBdQfzus+kM1iiiQxQy8otETUiCv/X9v+wJmYNqn1fDStOrUC+Ml92NCLSc/Fp8ei+vjve/fVdOFo5ImpEFBa3WwwHSwfZ0Yg0whJNZKBMjEwwttFYXB5zGZ09OmPkjpFo+GNDRN6OlB2NiPTQk7wnmH14Nqp/Xx0RtyMQ1i0MhwYeQi2nWrKjEb0VlmgiA+dk7YSfO/+MyCHPynOTn5tg0JZBSM5MlpyMiPTFjss7UHNpTcw6NAtBDYIQNyYOfbz68NAN0mks0UQEAGhcvjFODD2B5YHLsTVuKzy+98B3x75DnjJPdjQi0lHXHl5Dx986osNvHVTXfJ7vPx825jayoxH9ZyzRRKRibGSMEfVH4PKYy+hdszfG7x4Pz6We2BC7gZfEI6I3lpyZjLF/jsU7we/gbNJZbOyxEeH9w/GO4zuyoxEVGpZoInpOKatSWNZhGc6MOAM3Bze8v/F9NFzZEHuu7YEQQnY8ItJSaU/SMH3/dLgtdsMvZ3/BLN9ZuBh0Ee/VeI+HbpDeYYkmopeq41wHO/vuxKGBh2BuYo6A0AC0+aUNjt85LjsaEWmR7NxsLIxYiCqLq2BB5AIENQjC9Y+uY0rzKShhVkJ2PKIiodcl+ubNmxgyZAhcXV1haWkJNzc3zJw5Ezk5OWrjzp07h+bNm8PCwgIVKlTAvHnznlvXhg0bUL16dVhYWMDLyws7d+4srs0gkq5FpRY4MugItvbaivuP76PxT43RdV1XXLh/QXY0IpIoT5mHH8/8iGrfV8PEvRPRo0YPXP3wKr559xuUtCwpOx5RkdLrEn3p0iUolUqsWLECsbGxWLRoEZYvX44pU6aoxqSnp8Pf3x+VKlXC6dOnMX/+fMyaNQs//PCDakxERAR69+6NIUOGICoqCl26dEGXLl0QExMjY7OIpFAoFOjo0RHRI6LxS5dfEJ0UDa9lXhi0ZRBupd6SHY+IipEQAhsvbETNpTUxbNswNK3QFBeDLmJ5h+UoZ1tOdjyiYqEQBnaA4/z587Fs2TJcv34dALBs2TJMnToVSUlJMDMzAwBMmjQJmzdvxqVLlwAAPXv2RFZWFrZv365aT+PGjVGnTh0sX778jf7e9PR02NnZIS0tDba2toW8VUTF72neU6w8sxJfHv4SqU9SMar+KExpPgVlSpSRHY2IiogQAnuv78XkfZNxOvE0AtwC8HWbr1HPpZ7saESFQpO+ptcz0S+SlpaGkiX/919MkZGRaNGihapAA0BAQADi4uLw6NEj1Rg/Pz+19QQEBCAy8uU3pXj69CnS09PVHkT6xNzEHGMajsG1sdcwvcV0rIpeBbfFbpi0dxKSMpNkxyOiQiSEQPi1cLT+pTX8Q/1hamyKAwMOYFe/XSzQZLAMqkRfvXoVS5YswYgRI1SvJSUlwcnJSW1cwfOkpKRXjilY/iJz5syBnZ2d6lGhQoXC2gwirWJtZo1pLabh2thrGF1/NIJPBqPy/1XGqO2jcO3hNdnxiOg/yFfmY0PsBtRfWR/+of5If5qOzT03I2JwBHwr+8qORySVTpboSZMmQaFQvPJRcChGgYSEBLRt2xY9evTAsGHDijzj5MmTkZaWpnrcvn27yP9OIplKW5XGN+9+g/hx8ZjRcgZ+v/g7qn1fDb1/743opGjZ8YhIA0/znmLl6ZWoHlwd7298Hw4WDgjvH45Tw06hc/XOvFwdEQAT2QHexoQJEzBw4MBXjqlSpYrq47t376JVq1Zo0qSJ2gmDAODs7IzkZPXbGxc8d3Z2fuWYguUvYm5uDnNz89duC5G+cbB0wJTmUzC+8Xj8HPUz5kfMR90VddGuajtMajYJzSs25w9gIi2V8TQDK06vwLeR3yIpMwld3+mKsG5haFiuoexoRFpHJ0u0o6MjHB0d32hsQkICWrVqBW9vb6xatQpGRuqT7z4+Ppg6dSpyc3NhamoKAAgPD4eHhwccHBxUY/bt24dx48apPi88PBw+Pj6FtEVE+sfS1BJBDYMw3Hs41seux9yjc9EypCV8yvtgUrNJ6FCtA4wUOvmfYUR6537WfXx3/DsEnwxGVk4W+tfqj0+bforqpavLjkaktfT66hwJCQnw9fVFpUqVsHr1ahgbG6uWFcwip6WlwcPDA/7+/pg4cSJiYmIwePBgLFq0CMOHDwfw7BJ3LVu2xNy5cxEYGIi1a9fi66+/xpkzZ1CzZs03ysKrc5ChE0Jg55WdmHNkDo7ePgpPR09MbDoRvWr2gqmxqex4RAbpZupNLIxYiJ+ifoKRwgjDvYdjfOPxqGDH83jIMGnS1/S6RIeEhGDQoEEvXPbPzT537hyCgoJw8uRJlC5dGh9++CEmTpyoNn7Dhg2YNm0abt68CXd3d8ybNw/t27d/4yws0UT/cyT+COYemYsdV3agrE1ZDKs3DMPqDeP1ZYmKgVIosff6Xiw7tQxb47bCwcIBYxuNRVCDIJSyKiU7HpFULNFaiCWa6Hnnk88j+GQwQs+F4kneE3Su3hmj6o9Ca9fWPNSDqJClPE5BSHQIlp9ejqsPr8KrjBdG1R+FD2p/wFtzE/2NJVoLsUQTvVz603T8evZXLDu1DLH3Y+Fe0h2j6o/CgDoDeOtgov9ACIHjCcex7NQyrItZBwGB7jW6Y3T90WhSoQlP8iX6F5ZoLcQSTfR6Qgj8Ff8Xlp1aht8v/A5jI2P0qtkLo+uPRoNyDWTHI9IZWTlZWHN+DZadWoaopChUtq+MEd4jMLjuYN5VlOgVWKK1EEs0kWaSM5PxU9RPWHF6BeLT4uHt4o1R9Ueht1dvWJlayY5HpJUu3r+IZaeWYfXZ1ch4moH27u0xusFoBLgFwNjI+PUrIDJwLNFaiCWa6O3kK/Px59U/sfTkUuy6ugu25rboXqM7+nr1RcvKLXnsNBm8B48fYH3seoSdD0PE7Qg4WjliaL2hGO49HJXtK8uOR6RTWKK1EEs00X93/dF1/Bz1M8LOh+Fm6k2UsymHPl590NerL2o51eLxnWQwHuc+xta4rQg7H4ZdV3dBCAF/N3/0r9Uf3d7pBnMT3uyL6G2wRGshlmiiwiOEQOSdSISdC8O62HVIyU6Bp6Mn+nr1RR+vPqhkX0l2RKJCl6fMw77r+xB2PgybLm1CZk4mGpVrhL5efdGzZk8e60xUCFiitRBLNFHRyM3Pxe5ruxF2PgxbLm1Bdl42mlVshn5e/dDDswev7kE6TQiBU3dPIex8GNbGrEVyVjKqlaqm+oWxasmqsiMS6RWWaC3EEk1U9DKeZmDzpc0IOx+G8OvhMFYYo517O/Ty7IV27u1gb2EvOyLRawkhEHMvBn9c/ANh58Nw5eEVOFs7o5dnL/St1RfeLt48dImoiLBEayGWaKLilZyZjHWx6xB2PgwnEk7AxMgELSq1QMdqHdGxWke4lXSTHZFIJSc/B4duHsK2y9uw7fI23Ey9CRszG3R7pxv6evVFK9dWMDEykR2TSO+xRGshlmgieeLT4rH98nZsu7wN+2/sR05+Dmo41kDHah3RyaMTGpVrxMt/UbFLeZyCnVd2Ytvlbdh1dRcycjJQwbaC6uvSt7IvTxAkKmYs0VqIJZpIO2Q8zUD49XBsu7wN2y9vx4PHD1DaqjQC3QPRyaMT/N38YW1mLTsm6SEhBOJS4rAt7tls89HbR6EUSjQo20BVnHmVGSK5WKK1EEs0kfbJV+bjeMJxVamJvR8LM2MztKrcCu3d26NV5VbwLOPJa1HTW0t/mo6j8Uex9/pebLu8DVceXoGliSX8qvihk0cnBLoHwsXGRXZMIvobS7QWYokm0n7XH11XFerDtw4jV5mLUpal0LJyS/hW8oVvZV+Wanql9KfpOBJ/BAdvHsTBmwdxOvE0lEKJsjZlVf/b0dq1Ne+6SaSlWKK1EEs0kW55nPsYx+4cU5Wh4wnHkZOfw1JNal5Vmn0r+6q+TqqWrMrDNIh0AEu0FmKJJtJtb1Kqm1dqDk9HT5gam8qOS0Uk5XEKjiccZ2km0lMs0VqIJZpIv2TnZv+vVN86iGN3jiEnPwcWJhao5VQL3i7ezx5lvVmsddSDxw9w+u5pnE78+3H3NG6l3QIAlmYiPcUSrYVYoon0W3ZuNk7dPYUziWdUpevSg0tQCiXMjM2eK9Y1y9SEmbGZ7Nj0t3tZ99QK85nEM4hPiwcA2JnboZ5LPdRzqQdvF280KNcAbg5uLM1EeoglWguxRBMZnqycLEQnRasVswv3L6iKtVcZL9RzqYcajjVQrVQ1VCtVDZXtK/OmGkUo9UkqrqRcweWUy7icchlnk8/idOJp3Em/AwCwt7BXleWCX3iqOFThce9EBoIlWguxRBMR8OzY6rNJZ1XFOioxCpdTLiM7LxsAYGJkAjcHN1Wpdi/prvq4rE1Zzn6+gSd5T3D14VVVUb6cchlXHj4rzvey7qnGuVi7wLOMp1phdrV35b8xkQFjidZCLNFE9DJKoURCeoJa6bv88NmfNx7dQL7IBwCUMC0B91LPSnUV+ypwsXGBi7ULXGxcUNamLFysXWBpail5a4qWEAIp2Sm4m3EXiRmJSMxMRGJGIu6k31EV5fi0eAg8+9Fma24Lj1Ieql9E/vnLiY25jeStISJtwxKthViiieht5OTn4MajG2oFOy4lDrfSbiExIxFP85+qjbczt3tWqAsKtrWL2nN7C3tYm1nDxtwGNmY2sDCxkDrzmq/MR2ZOJjJyMp79+TQD9x/fR2JG4rOinPm/onw34y6SMpOQq8xVW0dJy5Ioa1NWbda+4OFo5ciZZSJ6YyzRWoglmogKmxACqU9S/1c2/56Z/efzgo8f5z5+4TqMFcawNrNWFWtrM2vYmNmofVzCtASMjYxhpDBSPYwVz54rFAoohRJKoUS+Ml/1sVIokZOf879ynJOBjKcZzxXmgsNYXsTRylHtF4CC2fZ/zrw7WzvD3MS8qP6JicjAaNLXePYKEZGOUigUcLB0gIOlAzzLeL50nBACGTkZSMxIRNrTNFWBfWm5/fu1hPQEZORkICsnS60c//vx74Jd8DA1MlUr42VKlIG16cvLekGRL21VGk4lnHhZQCLSaizRRER6TqFQwNbcFrbm/F8wIqLCwmv2EBERERFpiCWaiIiIiEhDLNFERERERBpiiSYiIiIi0hBLNBERERGRhliiiYiIiIg0xBJNRERERKQhlmgiIiIiIg2xRBMRERERaYglmoiIiIhIQyzRREREREQaYokmIiIiItIQSzQRERERkYZYoomIiIiINMQSTURERESkIZZoIiIiIiINsUQTEREREWmIJZqIiIiISEMs0UREREREGmKJJiIiIiLSEEs0EREREZGGWKKJiIiIiDTEEk1EREREpCGWaCIiIiIiDbFEExERERFpiCWaiIiIiEhDLNFERERERBpiiSYiIiIi0hBLNBERERGRhliiiYiIiIg0ZCI7gKEQQgAA0tPTJSchIiIiohcp6GkFve1VWKKLSUZGBgCgQoUKkpMQERER0atkZGTAzs7ulWMU4k2qNv1nSqUSd+/ehY2NDRQKhew4xSY9PR0VKlTA7du3YWtrKzsOFTHub8PC/W1YuL8Ni6HubyEEMjIyULZsWRgZvfqoZ85EFxMjIyOUL19edgxpbG1tDeqb0NBxfxsW7m/Dwv1tWAxxf79uBroATywkIiIiItIQSzQRERERkYaMZ82aNUt2CNJvxsbG8PX1hYkJjx4yBNzfhoX727BwfxsW7u9X44mFREREREQa4uEcREREREQaYokmIiIiItIQSzQRERERkYZYoomIiIiINMQSTYXi5s2bGDJkCFxdXWFpaQk3NzfMnDkTOTk5auPOnTuH5s2bw8LCAhUqVMC8efOeW9eGDRtQvXp1WFhYwMvLCzt37iyuzSANzJ49G02aNIGVlRXs7e1fOCY+Ph6BgYGwsrJCmTJl8OmnnyIvL09tzMGDB1GvXj2Ym5ujatWqCAkJKYb0VBiCg4NRuXJlWFhYoFGjRjhx4oTsSPQWDh8+jI4dO6Js2bJQKBTYvHmz2nIhBGbMmAEXFxdYWlrCz88PV65cURvz8OFD9O3bF7a2trC3t8eQIUOQmZlZnJtBb2DOnDlo0KABbGxsUKZMGXTp0gVxcXFqY548eYKgoCCUKlUK1tbWeO+995CcnKw25k3e2w0BSzQVikuXLkGpVGLFihWIjY3FokWLsHz5ckyZMkU1Jj09Hf7+/qhUqRJOnz6N+fPnY9asWfjhhx9UYyIiItC7d28MGTIEUVFR6NKlC7p06YKYmBgZm0WvkJOTgx49emDUqFEvXJ6fn4/AwEDk5OQgIiICq1evRkhICGbMmKEac+PGDQQGBqJVq1aIjo7GuHHjMHToUOzevbu4NoPe0rp16/Dxxx9j5syZOHPmDGrXro2AgADcu3dPdjTSUFZWFmrXro3g4OAXLp83bx4WL16M5cuX4/jx4yhRogQCAgLw5MkT1Zi+ffsiNjYW4eHh2L59Ow4fPozhw4cX1ybQGzp06BCCgoJw7NgxhIeHIzc3F/7+/sjKylKNGT9+PLZt24YNGzbg0KFDuHv3Lrp166Za/ibv7QZDEBWRefPmCVdXV9XzpUuXCgcHB/H06VPVaxMnThQeHh6q5++//74IDAxUW0+jRo3EiBEjij4wvZVVq1YJOzu7517fuXOnMDIyEklJSarXli1bJmxtbVVfA5999pnw9PRU+7yePXuKgICAog1N/1nDhg1FUFCQ6nl+fr4oW7asmDNnjsRU9F8BEJs2bVI9VyqVwtnZWcyfP1/1WmpqqjA3Nxe//fabEEKICxcuCADi5MmTqjF//vmnUCgUIiEhofjCk8bu3bsnAIhDhw4JIZ7tW1NTU7FhwwbVmIsXLwoAIjIyUgjxZu/thoIz0VRk0tLSULJkSdXzyMhItGjRAmZmZqrXAgICEBcXh0ePHqnG+Pn5qa0nICAAkZGRxROaCk1kZCS8vLzg5OSkei0gIADp6emIjY1VjeH+1j05OTk4ffq02r4zMjKCn58f952euXHjBpKSktT2tZ2dHRo1aqTa15GRkbC3t0f9+vVVY/z8/GBkZITjx48Xe2Z6c2lpaQCg+ll9+vRp5Obmqu3v6tWro2LFimr7+3Xv7YaCJZqKxNWrV7FkyRKMGDFC9VpSUpLaNx0A1fOkpKRXjilYTrrjv+zv9PR0ZGdnF09Q0tiDBw+Qn5/P71UDULA/X7Wvk5KSUKZMGbXlJiYmKFmyJL8etJhSqcS4cePQtGlT1KxZE8CzfWlmZvbceS7/3t+ve283FCzR9EqTJk2CQqF45ePSpUtqn5OQkIC2bduiR48eGDZsmKTk9DbeZn8TEZHuCQoKQkxMDNauXSs7is7izdDplSZMmICBAwe+ckyVKlVUH9+9exetWrVCkyZN1E4YBABnZ+fnzvAteO7s7PzKMQXLqWhpur9fxdnZ+bmrNbzp/ra1tYWlpeUbpqbiVrp0aRgbG/N71QAU7M/k5GS4uLioXk9OTkadOnVUY/59QmleXh4ePnzIrwctNWbMGNUJoOXLl1e97uzsjJycHKSmpqrNRv/ze/tN3tsNBWei6ZUcHR1RvXr1Vz4KjnFOSEiAr68vvL29sWrVKhgZqX95+fj44PDhw8jNzVW9Fh4eDg8PDzg4OKjG7Nu3T+3zwsPD4ePjU8RbSoBm+/t1fHx8cP78ebUfruHh4bC1tUWNGjVUY7i/dY+ZmRm8vb3V9p1SqcS+ffu47/SMq6srnJ2d1fZ1eno6jh8/rtrXPj4+SE1NxenTp1Vj9u/fD6VSiUaNGhV7Zno5IQTGjBmDTZs2Yf/+/XB1dVVb7u3tDVNTU7X9HRcXh/j4eLX9/br3doMh+8xG0g937twRVatWFW3atBF37twRiYmJqkeB1NRU4eTkJPr37y9iYmLE2rVrhZWVlVixYoVqzNGjR4WJiYlYsGCBuHjxopg5c6YwNTUV58+fl7FZ9Aq3bt0SUVFR4vPPPxfW1tYiKipKREVFiYyMDCGEEHl5eaJmzZrC399fREdHi127dglHR0cxefJk1TquX78urKysxKeffiouXrwogoODhbGxsdi1a5eszaI3tHbtWmFubi5CQkLEhQsXxPDhw4W9vb3aGfukGzIyMlTfvwDEt99+K6KiosStW7eEEELMnTtX2Nvbiy1btohz586Jzp07C1dXV5Gdna1aR9u2bUXdunXF8ePHxZEjR4S7u7vo3bu3rE2ilxg1apSws7MTBw8eVPs5/fjxY9WYkSNHiooVK4r9+/eLU6dOCR8fH+Hj46Na/ibv7YaCJZoKxapVqwSAFz7+6ezZs6JZs2bC3NxclCtXTsydO/e5da1fv15Uq1ZNlmjBWwAABgtJREFUmJmZCU9PT7Fjx47i2gzSwIABA164vw8cOKAac/PmTdGuXTthaWkpSpcuLSZMmCByc3PV1nPgwAFRp04dYWZmJqpUqSJWrVpVvBtCb23JkiWiYsWKwszMTDRs2FAcO3ZMdiR6CwcOHHjh9/KAAQOEEM8uczd9+nTh5OQkzM3NRZs2bURcXJzaOlJSUkTv3r2FtbW1sLW1FYMGDVL9Qk3a42U/p//5vpudnS1Gjx4tHBwchJWVlejatavahJgQb/bebggUQghRjBPfREREREQ6j8dEExERERFpiCWaiIiIiEhDLNFERERERBpiiSYiIiIi0hBLNBERERGRhliiiYiIiIg0xBJNRERERKQhlmgiIiIiIg2xRBMRERERaYglmoiIiIhIQyzRREREREQaYokmIiIiItIQSzQRERERkYZYoomIDNzQoUOhUChQrVq1Fy6/c+cOTE1NoVAooFAokJmZ+dyYx48fw8HBAQqFArNmzSrixERE8rFEExEZOAcHBwB4YTkGgCVLliAvL0/1PDU19bkxa9asQWpqKszMzDBy5MiiCUpEpEVYoomIDJy9vT0AICMj47llWVlZWLlyJQDA2NgYAPDo0aPnxgUHBwMAevbsCWdn56KKSkSkNViiiYgMXMFMdFZWFoQQastWr16NR48ewdvbGx4eHgCeL9ERERGIjo4GAHz00UfFkJiISD6WaCIiA1cwEy2EQFZWlup1IQQWL14MABg3bhxsbW0BPF+iC2ahmzZtCm9v7+KITEQkHUs0EZGBK5iJBtQP6di5cyfi4uLg4uKCnj17ws7ODoD6MdH37t3Dxo0bAXAWmogMC0s0EZGBK5iJBtRL9P/93/8BAEaPHg1TU9MXzkSvXLkSOTk5qFChArp27frcuk+ePIn27dvD3t4eJUqUQOPGjbF+/fqi2hQiomJjIjsAERHJ9aKZ6JiYGOzduxcWFhaqq20UzEQXlOj8/HysWLECABAUFAQTE/UfKQcOHEBAQAAsLCzQq1cv2NjY4Pfff0fPnj1x+/ZtTJgwoci3jYioqHAmmojIwP1zJrrgMncFs9B9+/ZF6dKlAeC5meht27bh9u3bsLS0xLBhw9TWmZeXh2HDhsHIyAiHDx/GDz/8gIULF+Ls2bOoVq0apkyZglu3bhX5thERFRWWaCIiA/fvmej79+8jLCwMwLMTCgv8+5joghMK+/fvj5IlS6qtc//+/bh27Rr69OmDOnXqqK1jypQpyMnJwerVq4tmg4iIigFLNBGRgTM3N4eFhQWAZyV6+fLlePLkCdq0aYOaNWuqxv1zJjouLg779u0DAIwdO/a5dR48eBAA4O/v/9yygIAAAMChQ4cKdTuIiIoTSzQREalmo1NSUrB06VIA6rPQgPox0UuXLoUQAn5+fvD09HxufVeuXAEAuLu7P7fM2dkZ1tbWqjFERLqIJxYSERHs7e2RmJiIn376CUlJSXB3d0dgYKDamIKZ6ISEBMTExAB4+WXt0tLSAPyveP+bra2tagwRkS5iiSYiItVMdMGdB8eOHQuFQqE2pqAQ37x5EwBQtWpVtG/fvvhCEhFpER7OQUREalfosLe3x8CBA58bUzATXeDDDz+EkdGLf4wUFO6XzTanp6e/dJaaiEgXsEQTEZHaFTqGDBkCa2vr58b8s/Ta2tpi0KBBL11fwbHQLzruOSkpCZmZmS88XpqISFewRBMREUJDQyGEgBACCxYseOEYDw8P1Zi0tDTY2Ni8dH0tW7YEAOzZs+e5Zbt371YbQ0SkixRCCCE7BBER6Ze8vDx4eHggISEBx44dU10rOi0tDQ0bNsTNmzcRFxeHypUryw1KRPSWWKKJiKhIvOy237du3cKCBQt4228i0mks0UREVGROnDiBmTNnIiIiArm5ufDy8sLHH3+Mnj17yo5GRPSfsEQTEREREWmIJxYSEREREWmIJZqIiIiISEMs0UREREREGmKJJiIiIiLSEEs0EREREZGGWKKJiIiIiDTEEk1EREREpCGWaCIiIiIiDbFEExERERFpiCWaiIiIiEhDLNFERERERBr6f0l+pUX7XPI/AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/tx/pqtg9xkd5156pd7hbgdr_4140000gn/T/ipykernel_81609/1935938083.py:26: UserWarning: Matplotlib is currently using module://matplotlib_inline.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "  fig.show()\n"
     ]
    }
   ],
   "source": [
    "ax, fig = start_plot()\n",
    "radius = 15\n",
    "w = [100, 200]\n",
    "lim = 1.25 * max(w)\n",
    "\n",
    "start_loss, end_loss, num_iters = contours_and_trajectory(torch.tensor(w, dtype=torch.float32), lr=0.3, gamma=0.5, optim=\"momentum\")\n",
    "plot_text(start_loss, end_loss, num_iters)\n",
    "show_plot(ax, fig, plt_title=r\"Gradient descent overshoots minima because of momentum\",\n",
    "              x_label=r\"$w_{0}$\", y_label=r\"$w_{1}$\", lim=lim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f2e30c72",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter\tRadius\tLoss\n",
      "0\t223.61\t50000.00\n",
      "1\t89.44\t8000.00\n",
      "2\t35.78\t1280.00\n",
      "3\t27.73\t768.80\n",
      "4\t16.46\t270.85\n",
      "5\t7.39\t54.58\n",
      "6\t4.08\t16.66\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/tx/pqtg9xkd5156pd7hbgdr_4140000gn/T/ipykernel_81609/1935938083.py:26: UserWarning: Matplotlib is currently using module://matplotlib_inline.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "  fig.show()\n"
     ]
    }
   ],
   "source": [
    "ax, fig = start_plot()\n",
    "radius = 15\n",
    "w = [100, 200]\n",
    "lim = 1.25 * max(w)\n",
    "\n",
    "start_loss, end_loss, num_iters = contours_and_trajectory(\n",
    "    torch.tensor(w, dtype=torch.float32), lr=0.3, gamma=0.5, optim=\"nesterov\")\n",
    "plot_text(start_loss, end_loss, num_iters)\n",
    "show_plot(ax, fig, plt_title=r\"Nesterov gradient descent does not overshoot minima\",\n",
    "              x_label=r\"$w_{0}$\", y_label=r\"$w_{1}$\", lim=lim)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
